Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
78801	Rationalize the Numerator	( square root of 5)( cube root of 5)	$(\sqrt{5}) (\sqrt[3]{5})$
78802	Factor	x^2+13+40	$x^{2} + 13 + 40$
78803	Rationalize the Numerator	( square root of -49)/((7-2i)-(4+9i))	$\frac{\sqrt{- 49}}{(7 - 2 i) - (4 + 9 i)}$
78804	Factor	-x^2+14x-45	$- x^{2} + 14 x - 45$
78805	Rationalize the Numerator	( square root of 2x)/2	$\frac{\sqrt{2 x}}{2}$
78806	Factor	x^2+14x-49	$x^{2} + 14 x - 49$
78807	Factor	x^2+3x-130	$x^{2} + 3 x - 130$
78808	Factor	x^2+4xy-32y^2	$x^{2} + 4 x y - 32 y^{2}$
78809	Rationalize the Numerator	( cube root of 14y^2)/( cube root of 19x)	$\frac{\sqrt[3]{14 y^{2}}}{\sqrt[3]{19 x}}$
78810	Rationalize the Numerator	( fifth root of (a+b)^4)/( square root of a+b)	$\frac{\sqrt[5]{{(a + b)}^{4}}}{\sqrt{a + b}}$
78811	Factor	x^2+5x-9	$x^{2} + 5 x - 9$
78812	Rationalize the Numerator	( square root of 10)/( square root of 7x)	$\frac{\sqrt{10}}{\sqrt{7 x}}$
78813	Rationalize the Numerator	( cube root of 10y^2)/( cube root of 11x)	$\frac{\sqrt[3]{10 y^{2}}}{\sqrt[3]{11 x}}$
78814	Factor	x^2+6x-1	$x^{2} + 6 x - 1$
78815	Rationalize the Numerator	( square root of x+h- square root of x)/h	$\frac{(\sqrt{x + h} - \sqrt{x})}{h}$
78816	Rationalize the Numerator	4 fourth root of 4^3	$4 \sqrt[4]{4^{3}}$
78817	Factor	x^2+6x+9=0	$x^{2} + 6 x + 9 = 0$
78818	Identify the Zeros and Their Multiplicities	(5x^2-25x)/x	$\frac{5 x^{2} - 25 x}{x}$
78819	Factor	x^2+8x-15	$x^{2} + 8 x - 15$
78820	Factor	x^2+8x+14	$x^{2} + 8 x + 14$
78821	Identify the Zeros and Their Multiplicities	(x^2-25)^2	${(x^{2} - 25)}^{2}$
78822	Factor	x^2+7x-xy-7y	$x^{2} + 7 x - x y - 7 y$
78823	Factor	x^2+7x+12.25	$x^{2} + 7 x + 12.25$
78824	Identify the Zeros and Their Multiplicities	-(x^2-3)^3(x+ square root of 3)^5	$- {(x^{2} - 3)}^{3} {(x + \sqrt{3})}^{5}$
78825	Factor	x^4-9x^2+8	$x^{4} - 9 x^{2} + 8$
78826	Identify the Zeros and Their Multiplicities	(x^2-16)^3	${(x^{2} - 16)}^{3}$
78827	Identify the Zeros and Their Multiplicities	(x^2-16)^4	${(x^{2} - 16)}^{4}$
78828	Factor	x^4-27x^2-14x+120	$x^{4} - 27 x^{2} - 14 x + 120$
78829	Factor	x^4-2x^3+8x-16	$x^{4} - 2 x^{3} + 8 x - 16$
78830	Identify the Zeros and Their Multiplicities	(x^3+18x^2+101x+180)/(x+4)	$\frac{(x^{3} + 18 x^{2} + 101 x + 180)}{(x + 4)}$
78831	Factor	x^4-4x^3-64x+256	$x^{4} - 4 x^{3} - 64 x + 256$
78832	Identify the Zeros and Their Multiplicities	(x^3-5x^2+2x+8)/(x+1)	$\frac{(x^{3} - 5 x^{2} + 2 x + 8)}{(x + 1)}$
78833	Factor	x^8+4x^7	$x^{8} + 4 x^{7}$
78834	Factor	x^7-256x^3	$x^{7} - 256 x^{3}$
78835	Factor	x^7+9x^6	$x^{7} + 9 x^{6}$
78836	Factor	x^5-5x^3+4x	$x^{5} - 5 x^{3} + 4 x$
78837	Factor	x^3-5x^2+x-5	$x^{3} - 5 x^{2} + x - 5$
78838	Identify the Zeros and Their Multiplicities	(2x^4-5x^3+10x-25)(x^3+5)	$(2 x^{4} - 5 x^{3} + 10 x - 25) (x^{3} + 5)$
78839	Factor	x^3-5x^2-24x	$x^{3} - 5 x^{2} - 24 x$
78840	Factor	x^3-4x^2-25x+100	$x^{3} - 4 x^{2} - 25 x + 100$
78841	Write in Exponential Form	log base 3/4 of 25=3x-1	$\log_{\frac{3}{4}} (25) = 3 x - 1$
78842	Factor	x^3-7x^2+3x-21	$x^{3} - 7 x^{2} + 3 x - 21$
78843	Factor	x^3-9x^2-4x+36	$x^{3} - 9 x^{2} - 4 x + 36$
78844	Identify the Zeros and Their Multiplicities	0.1(x-3)^2(x+3)^3	$0.1 {(x - 3)}^{2} {(x + 3)}^{3}$
78845	Factor	x^4-x^2+4x-4	$x^{4} - x^{2} + 4 x - 4$
78846	Identify the Zeros and Their Multiplicities	-0.002(x+12)(x+5)^2(x-9)^3	$- 0.002 (x + 12) {(x + 5)}^{2} {(x - 9)}^{3}$
78847	Factor	-x^4-10x^2-21	$- x^{4} - 10 x^{2} - 21$
78848	Factor	x^4-11x^2+30	$x^{4} - 11 x^{2} + 30$
78849	Identify the Zeros and Their Multiplicities	1.5x(x-2)^4(x+2)^3	$1.5 x {(x - 2)}^{4} {(x + 2)}^{3}$
78850	Factor	x^4-11x^2+18	$x^{4} - 11 x^{2} + 18$
78851	Identify the Zeros and Their Multiplicities	(x-2)^4(x^2-7)	${(x - 2)}^{4} (x^{2} - 7)$
78852	Factor	x^3+6x^2-6x-36	$x^{3} + 6 x^{2} - 6 x - 36$
78853	Factor	x^3+7x^2+14x+8	$x^{3} + 7 x^{2} + 14 x + 8$
78854	Identify the Zeros and Their Multiplicities	(x-2i)(x-3i)	$(x - 2 i) (x - 3 i)$
78855	Factor	x^3+6x^2-3x-18	$x^{3} + 6 x^{2} - 3 x - 18$
78856	Identify the Zeros and Their Multiplicities	(x-3)(5x-6)(x-6)^3=0	$(x - 3) (5 x - 6) {(x - 6)}^{3} = 0$
78857	Factor	x^3+4	$x^{3} + 4$
78858	Factor	x^3+30x^2+225x	$x^{3} + 30 x^{2} + 225 x$
78859	Factor	x^3+11x^2+28x	$x^{3} + 11 x^{2} + 28 x$
78860	Factor	x^3+25	$x^{3} + 25$
78861	Factor	x^3+8x^2-9x	$x^{3} + 8 x^{2} - 9 x$
78862	Factor	x^3+8x^2-20x	$x^{3} + 8 x^{2} - 20 x$
78863	Factor	x^3-16x^2+64x	$x^{3} - 16 x^{2} + 64 x$
78864	Factor	x^3-14x^2+49x	$x^{3} - 14 x^{2} + 49 x$
78865	Identify the Zeros and Their Multiplicities	(x+5)^3(x-9)(x+1)	${(x + 5)}^{3} (x - 9) (x + 1)$
78866	Factor	x^3-2x	$x^{3} - 2 x$
78867	Factor	x^3-2x+1	$x^{3} - 2 x + 1$
78868	Factor	x^3-3x^2-16x-12	$x^{3} - 3 x^{2} - 16 x - 12$
78869	Factor	x^3-36	$x^{3} - 36$
78870	Identify the Zeros and Their Multiplicities	18x^3-45x^2+19x-2	$18 x^{3} - 45 x^{2} + 19 x - 2$
78871	Factor	x^2y-3x^2-2y+6	$x^{2} y - 3 x^{2} - 2 y + 6$
78872	Identify the Zeros and Their Multiplicities	15x^12+41x^9+13x^2-10	$15 x^{12} + 41 x^{9} + 13 x^{2} - 10$
78873	Factor	x^(2n)-2x^n+1	$x^{2 n} - 2 x^{n} + 1$
78874	Identify the Zeros and Their Multiplicities	11x^3+123x^2+23x+11	$11 x^{3} + 123 x^{2} + 23 x + 11$
78875	Factor	x^3-x^2-14x+14	$x^{3} - x^{2} - 14 x + 14$
78876	Identify the Zeros and Their Multiplicities	11x^3+124x^2+34x+11	$11 x^{3} + 124 x^{2} + 34 x + 11$
78877	Factor	x^3-1/8	$x^{3} - \frac{1}{8}$
78878	Factor	x^3y^3-1	$x^{3} y^{3} - 1$
78879	Factor	x^2-x-12=0	$x^{2} - x - 12 = 0$
78880	Factor	x^2-x-6=0	$x^{2} - x - 6 = 0$
78881	Factor	x^2-bx+36	$x^{2} - b x + 36$
78882	Factor	x^2-9x+4	$x^{2} - 9 x + 4$
78883	Identify the Zeros and Their Multiplicities	f(x)=5(x+5)(x-4)^3	$f (x) = 5 (x + 5) {(x - 4)}^{3}$
78884	Factor	x^2-9x=0	$x^{2} - 9 x = 0$
78885	Factor	x^2-8x-4	$x^{2} - 8 x - 4$
78886	Factor	x^2-8x+11	$x^{2} - 8 x + 11$
78887	Factor	x^2-7x-4	$x^{2} - 7 x - 4$
78888	Factor	x^2-7x=0	$x^{2} - 7 x = 0$
78889	Factor	1-w^8	$1 - w^{8}$
78890	Identify the Zeros and Their Multiplicities	f(x)=6(x^2-5)^3	$f (x) = 6 {(x^{2} - 5)}^{3}$
78891	Factor	1+1000y^3	$1 + 1000 y^{3}$
78892	Factor	10a^3+9a^2+2a	$10 a^{3} + 9 a^{2} + 2 a$
78893	Identify the Zeros and Their Multiplicities	f(x)=6(x-2)(x-3)^3	$f (x) = 6 (x - 2) {(x - 3)}^{3}$
78894	Factor	10a^2-3a-1	$10 a^{2} - 3 a - 1$
78895	Identify the Zeros and Their Multiplicities	f(x)=6(x-2)(x+3)^3	$f (x) = 6 (x - 2) {(x + 3)}^{3}$
78896	Factor	10x^2+4x	$10 x^{2} + 4 x$
78897	Factor	10x^2+19x-15	$10 x^{2} + 19 x - 15$
78898	Identify the Zeros and Their Multiplicities	f(x)=7(x-4)(x+6)^3	$f (x) = 7 (x - 4) {(x + 6)}^{3}$
78899	Factor	10x^2+19xy-15y^2	$10 x^{2} + 19 x y - 15 y^{2}$
78900	Factor	10x^2+27x-28	$10 x^{2} + 27 x - 28$