Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
127601	Divide Using Synthetic Division	(5x^2+36x+40)÷(x+6)	$(5 x^{2} + 36 x + 40) \div (x + 6)$
127602	Find the Maximum/Minimum Value	h(t)=72t-16t^2	$h (t) = 72 t - 16 t^{2}$
127603	Divide Using Synthetic Division	(6x^2+5x-7)/(x+2)	$\frac{6 x^{2} + 5 x - 7}{x + 2}$
127604	Divide Using Synthetic Division	(x^2+9)/(x+3)	$\frac{x^{2} + 9}{x + 3}$
127605	Find the Quadratic Equation	2 , -5/3	$2$ , $- \frac{5}{3}$
127606	Evaluate the Function	f(x)=3^-2	$f (x) = 3^{- 2}$
127607	Find the Vertical Line Through the Point	(2,3)	$(2, 3)$
127608	Find the Quotient of the Two Functions	f(x)=x^2+1 , g(x)=4x-1	$f (x) = x^{2} + 1$ , $g (x) = 4 x - 1$
127609	Find the Maximum/Minimum Value	h(T)=112t-16t^2	$h (T) = 112 t - 16 t^{2}$
127610	Find the Asymptotes	9y^2-4x^2=36	$9 y^{2} - 4 x^{2} = 36$
127611	Expand Using Pascal's Triangle	(x+y)^8	${(x + y)}^{8}$
127612	Evaluate the Function	f(x)=3x+2	$f (x) = 3 x + 2$
127613	Find the Symmetry	y=X^2	$y = X^{2}$
127614	Find the Maximum/Minimum Value	h(t)=88t-16t^2	$h (t) = 88 t - 16 t^{2}$
127615	Find the Inverse	[[-5,-1],[6,0]]	$[\begin{array}{c} - 5 & - 1 \\ 6 & 0 \end{array}]$
127616	Solve the Triangle	0.75(8+e)=2-1.25e	$0.75 (8 + e) = 2 - 1.25 e$
127617	Find the Maximum/Minimum Value	H(t)=96t-16t^2	$H (t) = 96 t - 16 t^{2}$
127618	Find the Standard Form of the Parabola	f(x)=x^2-4	$f (x) = x^{2} - 4$
127619	Find the Maximum/Minimum Value	H(t)=120t-16t^2	$H (t) = 120 t - 16 t^{2}$
127620	Find the Standard Form of the Parabola	f(x)=5x^2-5x+1	$f (x) = 5 x^{2} - 5 x + 1$
127621	Find the Maximum/Minimum Value	H(t)=40t-16t^2	$H (t) = 40 t - 16 t^{2}$
127622	Find Where Undefined/Discontinuous	(3b^2+13b+4)/(b+4)	$\frac{3 b^{2} + 13 b + 4}{b + 4}$
127623	Find the Range	F(x)=(3/4)^x-4	$F (x) = {(\frac{3}{4})}^{x} - 4$
127624	Expand Using Pascal's Triangle	(x+y)^3	${(x + y)}^{3}$
127625	Find the Degree	3X^8Y^4	$3 X^{8} Y^{4}$
127626	Solve the System of @WORD	x<=3	$x \leq 3$
127627	Find the Maximum/Minimum Value	y=x^2+6x+10	$y = x^{2} + 6 x + 10$
127628	Expand Using Pascal's Triangle	(x+3)^4	${(x + 3)}^{4}$
127629	Find the Quadratic Equation	4 , -11/3	$4$ , $- \frac{11}{3}$
127630	Find the Square Root End Point	f(x) = square root of x	$f (x) = \sqrt{x}$
127631	Factor over the Complex Numbers	x^2+16	$x^{2} + 16$
127632	Find Where Increasing/Decreasing	f(x)=x^2+4x-5	$f (x) = x^{2} + 4 x - 5$
127633	Solve the System of @WORD	(2x+5)/(8x-3)<=0	$\frac{2 x + 5}{8 x - 3} \leq 0$
127634	Solve the System of @WORD	x/3-(x-1)/2>=1	$\frac{x}{3} - \frac{x - 1}{2} \geq 1$
127635	Solve by Addition/Elimination	4x^2-5y^2=-165x^2+2y^2=13	$4 x^{2} - 5 y^{2} = - 165 x^{2} + 2 y^{2} = 13$
127636	Expand Using Pascal's Triangle	(m+n)^5	${(m + n)}^{5}$
127637	Find the Parabola with Focus (0,3) and Directrix Y=-3	(0,3) Y=-3	$(0, 3)$ $Y = - 3$
127638	Find the Vertex Form	f(x)=x^2+8x+13	$f (x) = x^{2} + 8 x + 13$
127639	Find the Vertical Line Through the Point	(-8,5)	$(- 8, 5)$
127640	Find the Horizontal Line Through the Point	(1,9)	$(1, 9)$
127641	Find the Maximum/Minimum Value	y=-2x^2-3x+4	$y = - 2 x^{2} - 3 x + 4$
127642	Solve the System of @WORD	x<=4	$x \leq 4$
127643	Find the Symmetry	f(x)=-1/x	$f (x) = - \frac{1}{x}$
127644	Solve the System of @WORD	x>=3	$x \geq 3$
127645	Find the Center	(x^2)/16-(y^2)/9=1	$\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$
127646	Find the Symmetry	f(x)=x^4-6	$f (x) = x^{4} - 6$
127647	Identify the Zeros and Their Multiplicities	Y=6x^3-6x	$Y = 6 x^{3} - 6 x$
127648	Find the Maximum/Minimum Value	s=-16t^2+96t	$s = - 16 t^{2} + 96 t$
127649	Use the Rational Roots Test to Find All Possible Roots	x^4+2x^3-5x^2-8x+4=0	$x^{4} + 2 x^{3} - 5 x^{2} - 8 x + 4 = 0$
127650	Solve in Terms of the Arbitrary Variable x	x-4y+5z=0 , x+z-3y=0	$x - 4 y + 5 z = 0$ , $x + z - 3 y = 0$
127651	Find the Degree	5/7Y^3+5y^2+y+1	$\frac{5}{7} Y^{3} + 5 y^{2} + y + 1$
127652	Divide Using Long Polynomial Division	(6x^3+11x^2-4x-4)/(3x-2)	$\frac{6 x^{3} + 11 x^{2} - 4 x - 4}{3 x - 2}$
127653	Solve in Terms of the Arbitrary Variable x	6x-y+4z=0 , x-7y+z=0	$6 x - y + 4 z = 0$ , $x - 7 y + z = 0$
127654	Find the Center	(x^2)/25+(y^2)/16=1	$\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$
127655	Find the Maximum/Minimum Value	y=x^2-2x-3	$y = x^{2} - 2 x - 3$
127656	Find the Domain and Range	(0,1) , (1,0)	$(0, 1)$ , $(1, 0)$
127657	Find the Remainder	2X^3+X^2-16X-15 ; X-3	$2 X^{3} + X^{2} - 16 X - 15$ ; $X - 3$
127658	Use the Rational Roots Test to Find All Possible Roots	P(x)=2x^4+5x^3-2x^2-7x-6	$P (x) = 2 x^{4} + 5 x^{3} - 2 x^{2} - 7 x - 6$
127659	Find the Roots/Zeros Using the Rational Roots Test	x^3-34x-12=0	$x^{3} - 34 x - 12 = 0$
127660	Find the Roots/Zeros Using the Rational Roots Test	x^4-6x^3-5x^2+24x+4=0	$x^{4} - 6 x^{3} - 5 x^{2} + 24 x + 4 = 0$
127661	Find the Domain and Range	(0,9) , (5,4) , (1,4)	$(0, 9)$ , $(5, 4)$ , $(1, 4)$
127662	Write as a Function of F	F=9/5C+32	$F = \frac{9}{5} C + 32$
127663	Find the Domain	r = square root of A/pi	$r = \sqrt{\frac{A}{π}}$
127664	Find All Complex Number Solutions	x^2-2x+2=0	$x^{2} - 2 x + 2 = 0$
127665	Find the Center	(x^2)/9+(y^2)/25=1	$\frac{x^{2}}{9} + \frac{y^{2}}{25} = 1$
127666	Find the Position Vector	(1,2) , (-5,-7)	$(1, 2)$ , $(- 5, - 7)$
127667	Determine if Prime	x^3-6x^2+12x-8	$x^{3} - 6 x^{2} + 12 x - 8$
127668	Find the Cardinality	A=(a,b,c,d)	$A = (a, b, c, d)$
127669	Determine if the Expression is a Perfect Square	3x-x^2	$3 x - x^{2}$
127670	Determine if Dependent, Independent, or Inconsistent	-(y-4)=x+9 , x-8/3y=0	$- (y - 4) = x + 9$ , $x - \frac{8}{3} y = 0$
127671	Simplify the Matrix	[[2,4],[6,8]]-[[10,12],[14,16]]	$[\begin{array}{c} 2 & 4 \\ 6 & 8 \end{array}] - [\begin{array}{c} 10 & 12 \\ 14 & 16 \end{array}]$
127672	Simplify the Matrix	[[4,-3,0,8,7,5],[0,1,0,2,-4,-6]]+[[4,-1,7,5,4,-3],[-12,-2,-6,-5,9,2]]	$[\begin{array}{c} 4 & - 3 & 0 & 8 & 7 & 5 \\ 0 & 1 & 0 & 2 & - 4 & - 6 \end{array}] + [\begin{array}{c} 4 & - 1 & 7 & 5 & 4 & - 3 \\ - 12 & - 2 & - 6 & - 5 & 9 & 2 \end{array}]$
127673	Determine if Prime	x^2-49	$x^{2} - 49$
127674	Find the Slope of a Perpendicular Line	y=2/3x	$y = \frac{2}{3} x$
127675	Determine if Prime	x^2-5x+6	$x^{2} - 5 x + 6$
127676	Find the Symmetry	F(x)=x^3-4x^2-x+4	$F (x) = x^{3} - 4 x^{2} - x + 4$
127677	Find the Roots/Zeros Using the Rational Roots Test	x^3-18x-8=0	$x^{3} - 18 x - 8 = 0$
127678	Find the Reciprocal	square root of 20	$\sqrt{20}$
127679	Determine if the Expression is a Perfect Square	x^2-20x+10	$x^{2} - 20 x + 10$
127680	Find the Reciprocal	square root of 50	$\sqrt{50}$
127681	Solve Using a Matrix by Elimination	x+y+z=1x-y+3z=-1x+y-z=1	$x + y + z = 1 x - y + 3 z = - 1 x + y - z = 1$
127682	Find the Cardinality	A=(0,1,2,3,4,5,6,7,8,9)	$A = (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)$
127683	Find the Symmetry	X^2+Y^2=9	$X^{2} + Y^{2} = 9$
127684	Identify the Conic	x^2-y^2=16	$x^{2} - y^{2} = 16$
127685	Find the Intersection of the Sets	A=(1,3,4,6) , B=(0,1,7,8,9)	$A = (1, 3, 4, 6)$ , $B = (0, 1, 7, 8, 9)$
127686	Find the Cardinality	A=(2,4,6,8,10)	$A = (2, 4, 6, 8, 10)$
127687	Find the Kernel	S([[a],[b],[c]])=[[2a-6b+6c],[a+2b+c],[2a+b+2c]]	$S ([\begin{array}{c} a \\ b \\ c \end{array}]) = [\begin{array}{c} 2 a - 6 b + 6 c \\ a + 2 b + c \\ 2 a + b + 2 c \end{array}]$
127688	Find the Center	((x-2)^2)/25-((y-3)^2)/36=1	$\frac{{(x - 2)}^{2}}{25} - \frac{{(y - 3)}^{2}}{36} = 1$
127689	Split Using Partial Fraction Decomposition	2/(x(x-3))	$\frac{2}{x (x - 3)}$
127690	Determine if Dependent, Independent, or Inconsistent	x+y=0 , x-y=0	$x + y = 0$ , $x - y = 0$
127691	Find the Slope of a Perpendicular Line	y=5/4x	$y = \frac{5}{4} x$
127692	Find the Eccentricity	(x^2)/16+(y^2)/25=1	$\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1$
127693	Find the Behavior (Leading Coefficient Test)	f(x)=-x^7+bx^3+c	$f (x) = - x^{7} + b x^{3} + c$
127694	Find the Mean	0.9 , 1.1 , 1.2 , 1.3 , 1.3 , 1.6 , 0.9 , 1.4 , 1.8	$0.9$ , $1.1$ , $1.2$ , $1.3$ , $1.3$ , $1.6$ , $0.9$ , $1.4$ , $1.8$
127695	Find the Constant of Variation	xy=12	$x y = 12$
127696	Find the Intersection of the Sets	A=(0,1,2,3,4,5,6,7,8,9,10) , B=(9,10,11,12)	$A = (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10)$ , $B = (9, 10, 11, 12)$
127697	Evaluate the Difference Quotient	f(x)=4x-4 , x=2	$f (x) = 4 x - 4$ , $x = 2$
127698	Determine if Injective (One to One)	f(x)=x^3-8	$f (x) = x^{3} - 8$
127699	Find the Intersection of the Sets	A=(0,1,2) , B=(1,8,9)	$A = (0, 1, 2)$ , $B = (1, 8, 9)$
127700	Find the Kernel	S([[a],[b],[c]])=[[a-6b-3c],[a-2b+c],[a+3b+5c]]	$S ([\begin{array}{c} a \\ b \\ c \end{array}]) = [\begin{array}{c} a - 6 b - 3 c \\ a - 2 b + c \\ a + 3 b + 5 c \end{array}]$