Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
120601	Divide Using Synthetic Division	(x^2+3x-40)/(x-5)	$\frac{x^{2} + 3 x - 40}{x - 5}$
120602	Divide Using Synthetic Division	(x^4-6x^2-26)/(x+2)	$\frac{(x^{4} - 6 x^{2} - 26)}{(x + 2)}$
120603	Divide Using Synthetic Division	(x^4-5x^3-x^2+21x)/(x-3)	$\frac{x^{4} - 5 x^{3} - x^{2} + 21 x}{x - 3}$
120604	Divide Using Synthetic Division	(-4x^3-18x^2+7x-15)/(x+5)	$\frac{- 4 x^{3} - 18 x^{2} + 7 x - 15}{x + 5}$
120605	Divide Using Synthetic Division	(x^2+64)÷(x-8i)	$(x^{2} + 64) \div (x - 8 i)$
120606	Divide Using Synthetic Division	(2x^2-x+7)/(x+5)	$\frac{(2 x^{2} - x + 7)}{(x + 5)}$
120607	Divide Using Synthetic Division	(2x^3-14x+10)÷(x+3)	$(2 x^{3} - 14 x + 10) \div (x + 3)$
120608	Divide Using Synthetic Division	(x^3+7x^2+15x+9)÷(x+1)	$(x^{3} + 7 x^{2} + 15 x + 9) \div (x + 1)$
120609	Divide Using Synthetic Division	(1/5x^3-9/25x^2+9/125x-1/625)/(x-1/5)	$\frac{\frac{1}{5} x^{3} - \frac{9}{25} x^{2} + \frac{9}{125} x - \frac{1}{625}}{x - \frac{1}{5}}$
120610	Divide Using Synthetic Division	(x^3-x^2+2x+4)÷(x-2)	$(x^{3} - x^{2} + 2 x + 4) \div (x - 2)$
120611	Find Amplitude, Period, and Phase Shift	f(x)=3cos(5x)+2	$f (x) = 3 \cos (5 x) + 2$
120612	Calculate the Square Root	1600	$1600$
120613	Find the Roots/Zeros Using the Rational Roots Test	h(x)=x^3-5x^2+2x+12	$h (x) = x^{3} - 5 x^{2} + 2 x + 12$
120614	Find the Roots/Zeros Using the Rational Roots Test	q(x)=x^3+3x^2-6x-8	$q (x) = x^{3} + 3 x^{2} - 6 x - 8$
120615	Find the End Behavior	f(x)=x^8-8x^4+6x^2	$f (x) = x^{8} - 8 x^{4} + 6 x^{2}$
120616	Find the Axis of Symmetry	f(x)=-x^2-8x-10	$f (x) = - x^{2} - 8 x - 10$
120617	Find the Axis of Symmetry	f(x)=x^2-24x	$f (x) = x^{2} - 24 x$
120618	Find the LCM	8x^2-36x-20 , 2x^2+2x-60	$8 x^{2} - 36 x - 20$ , $2 x^{2} + 2 x - 60$
120619	Find the LCM	x^2-25 , x-5	$x^{2} - 25$ , $x - 5$
120620	Find the LCM	x^2-3x-10 , x+2	$x^{2} - 3 x - 10$ , $x + 2$
120621	Find the LCM	x^2-1 , x^2+2x+1	$x^{2} - 1$ , $x^{2} + 2 x + 1$
120622	Find the Axis of Symmetry	f(x)=x^2-22x	$f (x) = x^{2} - 22 x$
120623	Find the Axis of Symmetry	f(x)=-(x-3)^2-4	$f (x) = - {(x - 3)}^{2} - 4$
120624	Find the Symmetry	x-y^2=-5	$x - y^{2} = - 5$
120625	Rationalize the Denominator	6/(6+ square root of 5)	$\frac{6}{6 + \sqrt{5}}$
120626	Rationalize the Denominator	3/(5+ square root of 3)	$\frac{3}{5 + \sqrt{3}}$
120627	Rationalize the Denominator	(3+ square root of 7)/(2- square root of 3)	$\frac{3 + \sqrt{7}}{2 - \sqrt{3}}$
120628	Rationalize the Denominator	(4+ square root of 6)/( square root of 2+ square root of 3)	$\frac{4 + \sqrt{6}}{\sqrt{2} + \sqrt{3}}$
120629	Rationalize the Denominator	(5 square root of 7)/( square root of 3)	$\frac{5 \sqrt{7}}{\sqrt{3}}$
120630	Rationalize the Denominator	(5 square root of 2+ square root of 6)/(10 square root of 2- square root of 6)	$\frac{5 \sqrt{2} + \sqrt{6}}{10 \sqrt{2} - \sqrt{6}}$
120631	Rationalize the Denominator	1/( cube root of xy)	$\frac{1}{\sqrt[3]{x y}}$
120632	Rationalize the Denominator	( square root of 7-2)/( square root of 7+2)	$\frac{\sqrt{7} - 2}{\sqrt{7} + 2}$
120633	Find the Behavior (Leading Coefficient Test)	f(x)=4x^5-7x^3-13	$f (x) = 4 x^{5} - 7 x^{3} - 13$
120634	Find the Behavior (Leading Coefficient Test)	f(x)=5x^3+7x^2-x+9	$f (x) = 5 x^{3} + 7 x^{2} - x + 9$
120635	Find the Slope	8-5y=0	$8 - 5 y = 0$
120636	Find the Slope	7x-8y=-2	$7 x - 8 y = - 2$
120637	Find the Slope	(-2,1) , (2,2)	$(- 2, 1) (2, 2)$
120638	Find the Slope	y=-2x-9	$y = - 2 x - 9$
120639	Find the Slope	5x-4y=2	$5 x - 4 y = 2$
120640	Find the Slope	(-4,7) , (2,-8)	$(- 4, 7)$ , $(2, - 8)$
120641	Find the Slope	7x-7y=5	$7 x - 7 y = 5$
120642	Find the Slope	7x-7y=9	$7 x - 7 y = 9$
120643	Find the Slope	3x-10y=20	$3 x - 10 y = 20$
120644	Find the Slope	(0,6) , (6,0)	$(0, 6) (6, 0)$
120645	Find the Slope	6x+4y=6	$6 x + 4 y = 6$
120646	Find the Slope	-x-7y=-4	$- x - 7 y = - 4$
120647	Find the Slope	(-6,9) , (7,-9)	$(- 6, 9)$ , $(7, - 9)$
120648	Find the Slope	5y=-2x+6	$5 y = - 2 x + 6$
120649	Find the Slope	(0,4) , (6,-4)	$(0, 4) (6, - 4)$
120650	Identify the Sequence	4 , 9 , 14 , 19 , 24	$4$ , $9$ , $14$ , $19$ , $24$
120651	Find the Slope	3x-7y=4	$3 x - 7 y = 4$
120652	Solve Using the Square Root Property	(x-5)^2=17	${(x - 5)}^{2} = 17$
120653	Solve Using the Square Root Property	5x^2=240	$5 x^{2} = 240$
120654	Solve Using the Square Root Property	(2x-2)^2=30	${(2 x - 2)}^{2} = 30$
120655	Solve Using the Square Root Property	(7x+8)^2=48	${(7 x + 8)}^{2} = 48$
120656	Solve Using the Square Root Property	(x+15)^2-10=0	${(x + 15)}^{2} - 10 = 0$
120657	Solve Using the Square Root Property	x^2=4/9	$x^{2} = \frac{4}{9}$
120658	Solve Using the Square Root Property	3x^2=150	$3 x^{2} = 150$
120659	Solve Using the Square Root Property	(6x+16)^2=75	${(6 x + 16)}^{2} = 75$
120660	Solve Using the Square Root Property	81x^2+17=81	$81 x^{2} + 17 = 81$
120661	Solve Using the Square Root Property	2y^2=100	$2 y^{2} = 100$
120662	Solve Using the Square Root Property	4x^2=15	$4 x^{2} = 15$
120663	Solve Using the Square Root Property	2x^2-88=0	$2 x^{2} - 88 = 0$
120664	Solve Using the Square Root Property	2x^2-8=-170	$2 x^{2} - 8 = - 170$
120665	Find the Discriminant	9v^2+6v+1=0	$9 v^{2} + 6 v + 1 = 0$
120666	Find the Discriminant	2x^2=5x+4	$2 x^{2} = 5 x + 4$
120667	Find the Discriminant	2x^2=-4x+3	$2 x^{2} = - 4 x + 3$
120668	Find the Discriminant	2u^2+8u+8=0	$2 u^{2} + 8 u + 8 = 0$
120669	Find the Discriminant	3r^2+6r+3=0	$3 r^{2} + 6 r + 3 = 0$
120670	Find the Discriminant	3t^2-5t=0	$3 t^{2} - 5 t = 0$
120671	Find the Discriminant	3x^2=8x+4	$3 x^{2} = 8 x + 4$
120672	Find the Discriminant	4q^2+8q+4=0	$4 q^{2} + 8 q + 4 = 0$
120673	Find the Discriminant	4t^2+4t+1=0	$4 t^{2} + 4 t + 1 = 0$
120674	Find the Discriminant	4u^2+8u+4=0	$4 u^{2} + 8 u + 4 = 0$
120675	Find g(f(x))	f(x)=5x+2 , g(x)=(x-2)/5	$f (x) = 5 x + 2$ , $g (x) = \frac{x - 2}{5}$
120676	Find Where Undefined/Discontinuous	y=(x^2-9)/(x-3)	$y = \frac{x^{2} - 9}{x - 3}$
120677	Find f(g(x))	f(x)=5x+2 , g(x)=(x-2)/5	$f (x) = 5 x + 2$ , $g (x) = \frac{x - 2}{5}$
120678	Describe the Transformation	g(x)=-1/3(x-3)^2	$g (x) = - \frac{1}{3} {(x - 3)}^{2}$
120679	Find the GCF	54 , 24	$54$ , $24$
120680	Find the GCF	50y^4 , 175y^3	$50 y^{4}$ , $175 y^{3}$
120681	Find the GCF	28 , 20 , 56	$28$ , $20$ , $56$
120682	Find the GCF	49x , 343x^2	$49 x$ , $343 x^{2}$
120683	Find the GCF	14m^4 , 56m^7	$14 m^{4}$ , $56 m^{7}$
120684	Find the Symmetry	f(x)=x^5-5x	$f (x) = x^{5} - 5 x$
120685	Determine if Linear	10x-9(y+x)=7	$10 x - 9 (y + x) = 7$
120686	Determine if Linear	3x+9xy=10y	$3 x + 9 x y = 10 y$
120687	Find the Directrix	y^2=-32x	$y^{2} = - 32 x$
120688	Find the Directrix	y^2=-28x	$y^{2} = - 28 x$
120689	Round to the Nearest Thousandth	0.78656204	$0.78656204$
120690	Round to the Nearest Thousandth	4.34272127	$4.34272127$
120691	Subtract the Expressions	8.3x^2+0.9xy+3.67*0.4x^2-1.7xy+6.4	$8.3 x^{2} + 0.9 x y + 3.67 \cdot 0.4 x^{2} - 1.7 x y + 6.4$
120692	Determine if Linear	8x(y+4)=3-8y(6-x)	$8 x (y + 4) = 3 - 8 y (6 - x)$
120693	Subtract the Expressions	3m-4n-78m+n-6	$3 m - 4 n - 78 m + n - 6$
120694	Round to the Nearest Thousandth	1.49534878	$1.49534878$
120695	Find the GCF	42 , 18 , 36	$42$ , $18$ , $36$
120696	Find the GCF	16x^2y , 12xy^2 , 36x^2	$16 x^{2} y$ , $12 x y^{2}$ , $36 x^{2}$
120697	Find the GCF	x^2 , x^5 , x^5	$x^{2}$ , $x^{5}$ , $x^{5}$
120698	Find the GCF	x^4 , x^7 , x^8	$x^{4}$ , $x^{7}$ , $x^{8}$
120699	Find the GCF	-15x^3 , 35x^4	$- 15 x^{3}$ , $35 x^{4}$
120700	Find the GCF	20 , 36	$20$ , $36$