Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1001	Factor	3x^2+5x+50	$3 x^{2} + 5 x + 50$
1002	Factor	4x^3+4x^2-7x+2	$4 x^{3} + 4 x^{2} - 7 x + 2$
1003	Factor	4x^3-3.6x^2- square root of 2	$4 x^{3} - 3.6 x^{2} - \sqrt{2}$
1004	Factor	4-14x^2-8x^4	$4 - 14 x^{2} - 8 x^{4}$
1005	Find the Roots/Zeros Using the Rational Roots Test	x^3+7x^2-16x+18	$x^{3} + 7 x^{2} - 16 x + 18$
1006	Find the Roots/Zeros Using the Rational Roots Test	x^3-5x^2+2x+12	$x^{3} - 5 x^{2} + 2 x + 12$
1007	Find the Roots/Zeros Using the Rational Roots Test	x^4-2x^3+x^2-8x-12	$x^{4} - 2 x^{3} + x^{2} - 8 x - 12$
1008	Find the Roots/Zeros Using the Rational Roots Test	x^3-4x^2-25x+100	$x^{3} - 4 x^{2} - 25 x + 100$
1009	Find the Roots/Zeros Using the Rational Roots Test	x^4-5x^2-36	$x^{4} - 5 x^{2} - 36$
1010	Find the Roots/Zeros Using the Rational Roots Test	x^3+3x^2-x-3	$x^{3} + 3 x^{2} - x - 3$
1011	Use the Rational Roots Test to Find All Possible Roots	f(x)=5x^3-7x^2-45x+63	$f (x) = 5 x^{3} - 7 x^{2} - 45 x + 63$
1012	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-2x^2-25x+50	$f (x) = x^{3} - 2 x^{2} - 25 x + 50$
1013	Combine	csc(2x)+cot(2x)	$\csc (2 x) + \cot (2 x)$
1014	Find the LCM	-1 , -1 , 2-3i	$- 1$ , $- 1$ , $2 - 3 i$
1015	Convert to Interval Notation	x>50	$x > 50$
1016	Convert to Interval Notation	x^3-2x^2-3x<0	$x^{3} - 2 x^{2} - 3 x < 0$
1017	Convert to Interval Notation	\|5-2x\|>3	$\| 5 - 2 x \| > 3$
1018	Convert to Interval Notation	1+2/(x+1)<=2/x	$1 + \frac{2}{x + 1} \leq \frac{2}{x}$
1019	Convert to Interval Notation	x^2+x>6	$x^{2} + x > 6$
1020	Convert to Interval Notation	x^2<10-3x	$x^{2} < 10 - 3 x$
1021	Convert to Interval Notation	x^2>2x+8	$x^{2} > 2 x + 8$
1022	Convert to Interval Notation	x^3-36x>0	$x^{3} - 36 x > 0$
1023	Convert to Interval Notation	x^4>100x^2	$x^{4} > 100 x^{2}$
1024	Simplify	square root of 3 square root of 15	$\sqrt{3} \sqrt{15}$
1025	Simplify	fifth root of 96+ fifth root of 3	$\sqrt[5]{96} + \sqrt[5]{3}$
1026	Write with Rational (Fractional) Exponents	arcsin(( square root of 3)/2)	$\arcsin (\frac{\sqrt{3}}{2})$
1027	Find the Roots/Zeros Using the Rational Roots Test	2x^4-17x^3+35x^2+9x-45	$2 x^{4} - 17 x^{3} + 35 x^{2} + 9 x - 45$
1028	Find the Roots/Zeros Using the Rational Roots Test	3x^4-10x^3-9x^2+40x-12	$3 x^{4} - 10 x^{3} - 9 x^{2} + 40 x - 12$
1029	Solve Using the Quadratic Formula	x^2-0.2=-0.06x	$x^{2} - 0.2 = - 0.06 x$
1030	Solve Using the Quadratic Formula	x^2-6x=7/2	$x^{2} - 6 x = \frac{7}{2}$
1031	Find All Complex Number Solutions	30x^4-97x^3+50x^2-4x-1=0	$30 x^{4} - 97 x^{3} + 50 x^{2} - 4 x - 1 = 0$
1032	Solve Using the Quadratic Formula	(x+7)(2x+1)=7	$(x + 7) (2 x + 1) = 7$
1033	Find the x and y Intercepts	y = square root of 9-x^2	$y = \sqrt{9 - x^{2}}$
1034	Find the x and y Intercepts	y=(x-1)(x-3)	$y = (x - 1) (x - 3)$
1035	Find the x and y Intercepts	y=49-7x	$y = 49 - 7 x$
1036	Find the x and y Intercepts	y=2sin(x)	$y = 2 \sin (x)$
1037	Find the x and y Intercepts	y=2x^2-18	$y = 2 x^{2} - 18$
1038	Find the x and y Intercepts	y=x^4-25	$y = x^{4} - 25$
1039	Find the x and y Intercepts	f(x)=(4/3)^x	$f (x) = {(\frac{4}{3})}^{x}$
1040	Solve by Factoring	2cos(x)^2-cos(x)-1=0	$2 \cos^{2} (x) - \cos (x) - 1 = 0$
1041	Solve by Factoring	25x^2+16=40x	$25 x^{2} + 16 = 40 x$
1042	Find the Roots (Zeros)	y=1/4x^2-2x-12	$y = \frac{1}{4} x^{2} - 2 x - 12$
1043	Solve by Factoring	(2x-1)^2=8	${(2 x - 1)}^{2} = 8$
1044	Solve by Factoring	square root of 3cot(x)+1=0	$\sqrt{3} \cot (x) + 1 = 0$
1045	Write in Slope-Intercept Form	3x+4y=7	$3 x + 4 y = 7$
1046	Solve by Factoring	cos(x)=sin(x)	$\cos (x) = \sin (x)$
1047	Solve by Factoring	sin(x)=( square root of 3)/2	$\sin (x) = \frac{\sqrt{3}}{2}$
1048	Solve by Factoring	sin(2x)-sin(x)=0	$\sin (2 x) - \sin (x) = 0$
1049	Find the Roots (Zeros)	F(x)=2x^3-4x^2-10x+20	$F (x) = 2 x^{3} - 4 x^{2} - 10 x + 20$
1050	Find the Roots (Zeros)	f(x)=2x^3-4x^2-22x+44	$f (x) = 2 x^{3} - 4 x^{2} - 22 x + 44$
1051	Find the Roots (Zeros)	f(x)=x^4-3x^3-20x^2	$f (x) = x^{4} - 3 x^{3} - 20 x^{2}$
1052	Find the Roots (Zeros)	f(x)=x^3-6x^2+61x-106	$f (x) = x^{3} - 6 x^{2} + 61 x - 106$
1053	Find the Roots (Zeros)	f(x)=x^3+9x^2-25x-33	$f (x) = x^{3} + 9 x^{2} - 25 x - 33$
1054	Find the Roots (Zeros)	f(x)=x^4+x^3-3x^2-x+2	$f (x) = x^{4} + x^{3} - 3 x^{2} - x + 2$
1055	Find the Roots (Zeros)	f(x)=x^4+5x^2+4	$f (x) = x^{4} + 5 x^{2} + 4$
1056	Find the Roots (Zeros)	f(x)=x^4-2x^3+38x^2-2x+37	$f (x) = x^{4} - 2 x^{3} + 38 x^{2} - 2 x + 37$
1057	Find the Roots (Zeros)	f(x)=x^3-10x^2+4x-24	$f (x) = x^{3} - 10 x^{2} + 4 x - 24$
1058	Find the Roots (Zeros)	f(x)=3x^4-11x^3-x^2+19x+6	$f (x) = 3 x^{4} - 11 x^{3} - x^{2} + 19 x + 6$
1059	Find the Roots (Zeros)	f(x)=3x^4-8x^3-11x^2+28x-12	$f (x) = 3 x^{4} - 8 x^{3} - 11 x^{2} + 28 x - 12$
1060	Find the Roots (Zeros)	p(x)=x^3+8	$p (x) = x^{3} + 8$
1061	Find the Roots (Zeros)	h(x)=4x^4-5x^3+2x^2-x+5	$h (x) = 4 x^{4} - 5 x^{3} + 2 x^{2} - x + 5$
1062	Find the Roots (Zeros)	y=-5x-7	$y = - 5 x - 7$
1063	Find the Roots (Zeros)	5x^3-2x^2-10x+4=0	$5 x^{3} - 2 x^{2} - 10 x + 4 = 0$
1064	Find the Roots (Zeros)	2x^2-4x+9=0	$2 x^{2} - 4 x + 9 = 0$
1065	Find the Roots (Zeros)	x^3-3x+1=0	$x^{3} - 3 x + 1 = 0$
1066	Find the Roots (Zeros)	x^2+6x+9=0	$x^{2} + 6 x + 9 = 0$
1067	Solve by Completing the Square	-4x^2-11x=7	$- 4 x^{2} - 11 x = 7$
1068	Solve by Completing the Square	x^2-3x-88=0	$x^{2} - 3 x - 88 = 0$
1069	Solve by Completing the Square	x^2-6x-11=0	$x^{2} - 6 x - 11 = 0$
1070	Solve by Completing the Square	x^2=3/4x-1/8	$x^{2} = \frac{3}{4} x - \frac{1}{8}$
1071	Divide	(x^3-x^2-2x+6)/(x-2)	$\frac{x^{3} - x^{2} - 2 x + 6}{x - 2}$
1072	Divide	(x^4-3x^3+6x^2-3x+5)/(x^2+1)	$\frac{x^{4} - 3 x^{3} + 6 x^{2} - 3 x + 5}{x^{2} + 1}$
1073	Divide	(x^5+7)/(x^3-1)	$\frac{x^{5} + 7}{x^{3} - 1}$
1074	Divide	(2x^4-3x^3+7)/(x^2-2)	$\frac{2 x^{4} - 3 x^{3} + 7}{x^{2} - 2}$
1075	Divide	(2x^4-x^2+6)/(x^2+3x+2)	$\frac{2 x^{4} - x^{2} + 6}{x^{2} + 3 x + 2}$
1076	Split Using Partial Fraction Decomposition	(x+1)/((x-2)^2(x+4))	$\frac{x + 1}{{(x - 2)}^{2} (x + 4)}$
1077	Split Using Partial Fraction Decomposition	(7x^2-3x+5)/(2x^3+x-10)	$\frac{7 x^{2} - 3 x + 5}{2 x^{3} + x - 10}$
1078	Divide	(8x-5)/(2x+1)	$\frac{8 x - 5}{2 x + 1}$
1079	Divide	(6x^3-16x^2+17x-6)/(3x-2)	$\frac{6 x^{3} - 16 x^{2} + 17 x - 6}{3 x - 2}$
1080	Divide	(pi/2)/4	$\frac{\frac{π}{2}}{4}$
1081	Find the Range	x=-1	$x = - 1$
1082	Find the Range	y=-5	$y = - 5$
1083	Find the Asymptotes	f(x)=(5x)/(x^2-4)	$f (x) = \frac{5 x}{x^{2} - 4}$
1084	Find the Asymptotes	f(x)=x/(x+4)	$f (x) = \frac{x}{x + 4}$
1085	Find the Asymptotes	f(x)=x/(x^2-9)	$f (x) = \frac{x}{x^{2} - 9}$
1086	Find the Asymptotes	f(x)=(x+5)/(x^2-5x-14)	$f (x) = \frac{x + 5}{x^{2} - 5 x - 14}$
1087	Find the Asymptotes	f(x)=(x-4)/(x(x-4))	$f (x) = \frac{x - 4}{x (x - 4)}$
1088	Find the Asymptotes	q(x)=1.5^x	$q (x) = {1.5}^{x}$
1089	Find the Asymptotes	f(x) = natural log of x+1	$f (x) = \ln (x + 1)$
1090	Find the Asymptotes	f(x) = natural log of x-4	$f (x) = \ln (x - 4)$
1091	Find the Asymptotes	f(x)=5csc(x)	$f (x) = 5 \csc (x)$
1092	Find the Asymptotes	f(x)=(x^2+x-30)/(x-7)	$f (x) = \frac{x^{2} + x - 30}{x - 7}$
1093	Find the Asymptotes	f(x)=(x^2+x-12)/(x^2+2x-15)	$f (x) = \frac{x^{2} + x - 12}{x^{2} + 2 x - 15}$
1094	Find the Asymptotes	f(x)=(x^2+4x-7)/(x-8)	$f (x) = \frac{x^{2} + 4 x - 7}{x - 8}$
1095	Find the Asymptotes	f(x)=(x^2-16)/(x-4)	$f (x) = \frac{x^{2} - 16}{x - 4}$
1096	Find the Asymptotes	f(x)=(x^2-2x-8)/(x^2-9)	$f (x) = \frac{x^{2} - 2 x - 8}{x^{2} - 9}$
1097	Find the Asymptotes	f(x)=(x^2-4)/(x^2-3x+2)	$f (x) = \frac{x^{2} - 4}{x^{2} - 3 x + 2}$
1098	Find the Asymptotes	f(x)=1/(x^2+1)	$f (x) = \frac{1}{x^{2} + 1}$
1099	Find the Asymptotes	f(x)=(2x)/(x-3)	$f (x) = \frac{2 x}{x - 3}$
1100	Find the Asymptotes	f(x)=(2x^2)/(x^2-1)	$f (x) = \frac{2 x^{2}}{x^{2} - 1}$