Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
150501	Find the Roots/Zeros Using the Rational Roots Test	f(x)=2x^4-7x^3-27x^2+63x+81	$f (x) = 2 x^{4} - 7 x^{3} - 27 x^{2} + 63 x + 81$
150502	Find the Roots/Zeros Using the Rational Roots Test	f(x)=6x^4+5x^3-33x^2-12x+20	$f (x) = 6 x^{4} + 5 x^{3} - 33 x^{2} - 12 x + 20$
150503	Find the Roots/Zeros Using the Rational Roots Test	f(x)=-3x^4-5x^3-x^2-8x+4	$f (x) = - 3 x^{4} - 5 x^{3} - x^{2} - 8 x + 4$
150504	Find the Roots/Zeros Using the Rational Roots Test	f(x)=5x^4-7x^3-x^2-3x-2	$f (x) = 5 x^{4} - 7 x^{3} - x^{2} - 3 x - 2$
150505	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+6x^2-30x-35	$f (x) = x^{3} + 6 x^{2} - 30 x - 35$
150506	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+7x^2-15x-21	$f (x) = x^{3} + 7 x^{2} - 15 x - 21$
150507	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+7x^2-49x-55	$f (x) = x^{3} + 7 x^{2} - 49 x - 55$
150508	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3+9x^2-69x-77	$f (x) = x^{3} + 9 x^{2} - 69 x - 77$
150509	Find the Roots/Zeros Using the Rational Roots Test	f(x)=8x^3-6x^2-23x+6	$f (x) = 8 x^{3} - 6 x^{2} - 23 x + 6$
150510	Split Using Partial Fraction Decomposition	(3x+13)/(x^2+5x+6)	$\frac{3 x + 13}{x^{2} + 5 x + 6}$
150511	Split Using Partial Fraction Decomposition	(12x+36)/(x^2-4x-21)	$\frac{12 x + 36}{x^{2} - 4 x - 21}$
150512	Split Using Partial Fraction Decomposition	1/(x^2-x)	$\frac{1}{x^{2} - x}$
150513	Split Using Partial Fraction Decomposition	(6x^2-x-1)/((x+1)(x^2+2))	$\frac{6 x^{2} - x - 1}{(x + 1) (x^{2} + 2)}$
150514	Split Using Partial Fraction Decomposition	(5x-20)/(x^2-2x-8)	$\frac{5 x - 20}{x^{2} - 2 x - 8}$
150515	Split Using Partial Fraction Decomposition	(8x^2-x-4)/((2x^2-x-1)(x^2+x+1))	$\frac{8 x^{2} - x - 4}{(2 x^{2} - x - 1) (x^{2} + x + 1)}$
150516	Split Using Partial Fraction Decomposition	(x+8)/(x^2+6x+8)	$\frac{x + 8}{x^{2} + 6 x + 8}$
150517	Split Using Partial Fraction Decomposition	(x^3)/((x+2)^2(x-2)^2)	$\frac{x^{3}}{{(x + 2)}^{2} {(x - 2)}^{2}}$
150518	Split Using Partial Fraction Decomposition	(x^2)/(x^4-256)	$\frac{x^{2}}{x^{4} - 256}$
150519	Convert to Set Notation	\|4x-2\|<10	$\| 4 x - 2 \| < 10$
150520	Convert to Set Notation	-2<=10-4x<=7	$- 2 \leq 10 - 4 x \leq 7$
150521	Reorder in Descending Order	-8y^7-y^11+1+8y^13	$- 8 y^{7} - y^{11} + 1 + 8 y^{13}$
150522	Reorder in Descending Order	2xy^4+2x^2y-3y^2+10x^3	$2 x y^{4} + 2 x^{2} y - 3 y^{2} + 10 x^{3}$
150523	Find dy/dx	x^3+y^3=14xy	$x^{3} + y^{3} = 14 x y$
150524	Find the Equation Given the Roots	(-9+ square root of 57)/4 , (-9- square root of 57)/4	$\frac{- 9 + \sqrt{57}}{4}$ , $\frac{- 9 - \sqrt{57}}{4}$
150525	Find the Equation Given the Roots	(-7+ square root of 13)/2 , (-7- square root of 13)/2	$\frac{- 7 + \sqrt{13}}{2}$ , $\frac{- 7 - \sqrt{13}}{2}$
150526	Find the Equation Given the Roots	1 , 6	$1$ , $6$
150527	Find the Equation Given the Roots	0 , 8	$0$ , $8$
150528	Find the Equation Given the Roots	-5	$- 5$
150529	Find the Equation Given the Roots	4i , 3 , -3	$4 i$ , $3$ , $- 3$
150530	Find the Equation Given the Roots	-4 , -3	$- 4$ , $- 3$
150531	Find the Equation Given the Roots	-4 , 2 , 8	$- 4$ , $2$ , $8$
150532	Find the Equation Given the Roots	3-i	$3 - i$
150533	Find the Equation Given the Roots	3 , 5	$3$ , $5$
150534	Find the Equation Given the Roots	2 , -4 , 1+3i	$2$ , $- 4$ , $1 + 3 i$
150535	Find the Equation Given the Roots	2+5i , 2-5i	$2 + 5 i$ , $2 - 5 i$
150536	Find the Equation Given the Roots	2+6i	$2 + 6 i$
150537	Find the Equation Given the Roots	-216	$- 216$
150538	Find the Sum of the Infinite Geometric Series	4 , 4/5 , 4/25	$4$ , $\frac{4}{5}$ , $\frac{4}{25}$
150539	Find the Sum of the Infinite Geometric Series	1/3 , 2/3 , 4/3 , 8/3 , 16/3	$\frac{1}{3}$ , $\frac{2}{3}$ , $\frac{4}{3}$ , $\frac{8}{3}$ , $\frac{16}{3}$
150540	Find the Sum of the Infinite Geometric Series	3/2 , 1/2 , 1/6 , 1/18	$\frac{3}{2}$ , $\frac{1}{2}$ , $\frac{1}{6}$ , $\frac{1}{18}$
150541	Find the Equation Given the Roots	x=3 , -3 , -4	$x = 3$ , $- 3$ , $- 4$
150542	Find the y-intercept	5y-15=0	$5 y - 15 = 0$
150543	Find the Equation Given the Roots	6-2i , square root of 5	$6 - 2 i$ , $\sqrt{5}$
150544	Find the Behavior (Leading Coefficient Test)	p(x)=4x^8-6x^7+3x^3-10	$p (x) = 4 x^{8} - 6 x^{7} + 3 x^{3} - 10$
150545	Find the Behavior (Leading Coefficient Test)	g(x)=10x^9-50x^6-500x^2	$g (x) = 10 x^{9} - 50 x^{6} - 500 x^{2}$
150546	Find the Behavior (Leading Coefficient Test)	p(x)=-9x^9+6x^6-3x^3+1	$p (x) = - 9 x^{9} + 6 x^{6} - 3 x^{3} + 1$
150547	Find the Behavior (Leading Coefficient Test)	f(x)=-4(x-3)^2(x^2-1)	$f (x) = - 4 {(x - 3)}^{2} (x^{2} - 1)$
150548	Find the Behavior (Leading Coefficient Test)	f(x)=x^2(x+3)	$f (x) = x^{2} (x + 3)$
150549	Find the Behavior (Leading Coefficient Test)	f(x)=x^2+2x-1	$f (x) = x^{2} + 2 x - 1$
150550	Find the Symmetry	y=x^2+12	$y = x^{2} + 12$
150551	Find the Symmetry	y=5x	$y = 5 x$
150552	Find the Symmetry	y=5x+7	$y = 5 x + 7$
150553	Find the Symmetry	y=x^2-x-30	$y = x^{2} - x - 30$
150554	Find the Symmetry	y=3x^2+4	$y = 3 x^{2} + 4$
150555	Find the Symmetry	y=2x+4	$y = 2 x + 4$
150556	Multiply the Expressions	-4x3y2(7xy*4)	$- 4 x \cdot 3 y \cdot 2 (7 x y \cdot 4)$
150557	Find the Symmetry	3y=2x+3	$3 y = 2 x + 3$
150558	Find the Symmetry	36x^2+49y^2=1764	$36 x^{2} + 49 y^{2} = 1764$
150559	Find the Symmetry	9x^2+49y^2=441	$9 x^{2} + 49 y^{2} = 441$
150560	Find the Symmetry	4x-4y=0	$4 x - 4 y = 0$
150561	Find the Symmetry	5x=3y^2-1	$5 x = 3 y^{2} - 1$
150562	Find the Symmetry	5x-5y=0	$5 x - 5 y = 0$
150563	Find the Symmetry	6x-6y=0	$6 x - 6 y = 0$
150564	Solve by Linear Combination	2x+4y=3810x+3y=105	$2 x + 4 y = 3810 x + 3 y = 105$
150565	Find the Symmetry	x^2-y=7	$x^{2} - y = 7$
150566	Find the Symmetry	x^4+y^4=4a+b^2	$x^{4} + y^{4} = 4 a + b^{2}$
150567	Find the Symmetry	x^2-y^2=1	$x^{2} - y^{2} = 1$
150568	Find the Symmetry	x^2+y^2=2	$x^{2} + y^{2} = 2$
150569	Find the Symmetry	x^2+y^2=400	$x^{2} + y^{2} = 400$
150570	Find the Symmetry	x^2+9y^2=36	$x^{2} + 9 y^{2} = 36$
150571	Find the Symmetry	x^2+y^2=841	$x^{2} + y^{2} = 841$
150572	Find the Symmetry	x+y=0	$x + y = 0$
150573	Find the Symmetry	x^2-y=36	$x^{2} - y = 36$
150574	Find the Symmetry	x^2-y^3=15	$x^{2} - y^{3} = 15$
150575	Solve by Linear Combination	4x+3y=543x+9y=108	$4 x + 3 y = 543 x + 9 y = 108$
150576	Find the Symmetry	16x^2+49y^2=784	$16 x^{2} + 49 y^{2} = 784$
150577	Find the Symmetry	3x+y^2=5	$3 x + y^{2} = 5$
150578	Find the Symmetry	2xy-9=0	$2 x y - 9 = 0$
150579	Multiply the Expressions	6x^2-4x-5 2x^2+3x	$6 x^{2} - 4 x - 5$ $2 x^{2} + 3 x$
150580	Multiply the Expressions	(x+2)/(5x-15)*(10x^2-25x-15)	$\frac{x + 2}{5 x - 15} \cdot (10 x^{2} - 25 x - 15)$
150581	Find the Symmetry	y=4- square root of x+3	$y = 4 - \sqrt{x + 3}$
150582	Find the Symmetry	y=-4x	$y = - 4 x$
150583	Find the Symmetry	y=3x+5	$y = 3 x + 5$
150584	Find the Symmetry	y=4x^3-6x	$y = 4 x^{3} - 6 x$
150585	Find the Symmetry	y=\|x-6\|	$y = \| x - 6 \|$
150586	Find the Symmetry	y=10x	$y = 10 x$
150587	Find the Symmetry	y = square root of x-7	$y = \sqrt{x - 7}$
150588	Find the Symmetry	y = square root of 9-x^2	$y = \sqrt{9 - x^{2}}$
150589	Find the Symmetry	y=\|x^3+x\|	$y = \| x^{3} + x \|$
150590	Find the Symmetry	x-y^2=19	$x - y^{2} = 19$
150591	Find the Symmetry	x-y^2=15	$x - y^{2} = 15$
150592	Find the Symmetry	y=8/x	$y = \frac{8}{x}$
150593	Find the Symmetry	y=x^2-4x-32	$y = x^{2} - 4 x - 32$
150594	Find the Symmetry	y=x^2-2x-3	$y = x^{2} - 2 x - 3$
150595	Find the Symmetry	y=x^2-3x-4	$y = x^{2} - 3 x - 4$
150596	Find the Symmetry	y=4x+9	$y = 4 x + 9$
150597	Find the Behavior (Leading Coefficient Test)	f(x)=-3x+5x^3-6x^2+2	$f (x) = - 3 x + 5 x^{3} - 6 x^{2} + 2$
150598	Find the Behavior (Leading Coefficient Test)	f(x)=(x-4)^2(x+1)(x-3)	$f (x) = {(x - 4)}^{2} (x + 1) (x - 3)$
150599	Find the Behavior (Leading Coefficient Test)	f(x)=x^3-6x^2+9x	$f (x) = x^{3} - 6 x^{2} + 9 x$
150600	Find the Behavior (Leading Coefficient Test)	f(x)=-8x^3	$f (x) = - 8 x^{3}$