Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
59601	Graph	square root of x+2	$\sqrt{x} + 2$
59602	Graph	square root of x-4	$\sqrt{x} - 4$
59603	Identify the Zeros and Their Multiplicities	2x^4-9x^3+17x^2-16x+6	$2 x^{4} - 9 x^{3} + 17 x^{2} - 16 x + 6$
59604	Graph	log base 2 of x-3	$\log_{2} (x - 3)$
59605	Identify the Zeros and Their Multiplicities	2x^4-x^3+49x^2-25x-25	$2 x^{4} - x^{3} + 49 x^{2} - 25 x - 25$
59606	Graph	y=(1/4)^x	$y = {(\frac{1}{4})}^{x}$
59607	Graph	4/3	$\frac{4}{3}$
59608	Identify the Zeros and Their Multiplicities	3(x+4)(x-6)^3	$3 (x + 4) {(x - 6)}^{3}$
59609	Find the Perfect Square Trinomial	x^2+30x	$x^{2} + 30 x$
59610	Find the Perfect Square Trinomial	x^2-2x+c	$x^{2} - 2 x + c$
59611	Find the Perfect Square Trinomial	y^2+16y	$y^{2} + 16 y$
59612	Identify the Zeros and Their Multiplicities	3x^3-x^2-48x+16	$3 x^{3} - x^{2} - 48 x + 16$
59613	Determine the Type of Number	-2	$- 2$
59614	Identify the Zeros and Their Multiplicities	3x^4-10x^3-45x^2-20x+12	$3 x^{4} - 10 x^{3} - 45 x^{2} - 20 x + 12$
59615	Determine the Type of Number	square root of 19	$\sqrt{19}$
59616	Identify the Zeros and Their Multiplicities	3x^4-x^2+1	$3 x^{4} - x^{2} + 1$
59617	Determine the Type of Number	square root of 8	$\sqrt{8}$
59618	Identify the Zeros and Their Multiplicities	3x^12-17x^8+11x^4-6x+23	$3 x^{12} - 17 x^{8} + 11 x^{4} - 6 x + 23$
59619	Determine the Type of Number	square root of 50	$\sqrt{50}$
59620	Identify the Zeros and Their Multiplicities	3x^2-27=f(x)	$3 x^{2} - 27 = f (x)$
59621	Find the Axis of Symmetry	y=2x^2-8x+6	$y = 2 x^{2} - 8 x + 6$
59622	Identify the Zeros and Their Multiplicities	4(x+3)(x+6)^3	$4 (x + 3) {(x + 6)}^{3}$
59623	Complete the Square	x^2+16x+c	$x^{2} + 16 x + c$
59624	Identify the Zeros and Their Multiplicities	4x^3+19x^2-61x+14	$4 x^{3} + 19 x^{2} - 61 x + 14$
59625	Complete the Square	x^2-3/4x	$x^{2} - \frac{3}{4} x$
59626	Find the Axis of Symmetry	y=-x^2+6x-8	$y = - x^{2} + 6 x - 8$
59627	Identify the Zeros and Their Multiplicities	f(x)=x^4-x^3-30x^2	$f (x) = x^{4} - x^{3} - 30 x^{2}$
59628	Find the Axis of Symmetry	y=x^2-4x+2	$y = x^{2} - 4 x + 2$
59629	Find the Axis of Symmetry	y=-x^2-4x+5	$y = - x^{2} - 4 x + 5$
59630	Identify the Zeros and Their Multiplicities	f(x)=x^6-2.7	$f (x) = x^{6} - 2.7$
59631	Find the Axis of Symmetry	y=x^2+1	$y = x^{2} + 1$
59632	Find the Axis of Symmetry	y=(x-1)^2+2	$y = {(x - 1)}^{2} + 2$
59633	Identify the Zeros and Their Multiplicities	f(x)=x^5+5x^4-9x^3-81x^2-108x	$f (x) = x^{5} + 5 x^{4} - 9 x^{3} - 81 x^{2} - 108 x$
59634	Find the Axis of Symmetry	f(x)=(x-3)^2-4	$f (x) = {(x - 3)}^{2} - 4$
59635	Find the Axis of Symmetry	f(x)=(x-2)^2-1	$f (x) = {(x - 2)}^{2} - 1$
59636	Write in Standard Form	6i	$6 i$
59637	Identify the Zeros and Their Multiplicities	f(x)=x^7-2x^6	$f (x) = x^{7} - 2 x^{6}$
59638	Identify the Zeros and Their Multiplicities	f(x)=x^4+4x^3+3x^2	$f (x) = x^{4} + 4 x^{3} + 3 x^{2}$
59639	Apply the Quadratic Formula	x^2+10x+25	$x^{2} + 10 x + 25$
59640	Identify the Zeros and Their Multiplicities	f(x)=x^4+7x^3-6x^2+84x-216	$f (x) = x^{4} + 7 x^{3} - 6 x^{2} + 84 x - 216$
59641	Identify the Zeros and Their Multiplicities	f(x)=x^4-1	$f (x) = x^{4} - 1$
59642	Apply the Quadratic Formula	x^2-x-6	$x^{2} - x - 6$
59643	Identify the Zeros and Their Multiplicities	f(x)=x^4-12x^3+38x^2+116x+65	$f (x) = x^{4} - 12 x^{3} + 38 x^{2} + 116 x + 65$
59644	Identify the Zeros and Their Multiplicities	f(x)=x^4-2x^3+38x^2-2x+37	$f (x) = x^{4} - 2 x^{3} + 38 x^{2} - 2 x + 37$
59645	Identify the Zeros and Their Multiplicities	f(x)=x^4-25x^2+144	$f (x) = x^{4} - 25 x^{2} + 144$
59646	Write in Standard Form	x^1.5	$x^{1.5}$
59647	Identify the Zeros and Their Multiplicities	p(x)=(x-8)(x+6)^2	$p (x) = (x - 8) {(x + 6)}^{2}$
59648	Write in Standard Form	x^2	$x^{2}$
59649	Add	2/(x^2-9)+5/(x^2-x-12)	$\frac{2}{x^{2} - 9} + \frac{5}{x^{2} - x - 12}$
59650	Identify the Zeros and Their Multiplicities	4x^5-12x^4+x^3-52x^2-60x-16=0	$4 x^{5} - 12 x^{4} + x^{3} - 52 x^{2} - 60 x - 16 = 0$
59651	Identify the Zeros and Their Multiplicities	h(x)=2x^4-11x^3+27x^2-41x+15	$h (x) = 2 x^{4} - 11 x^{3} + 27 x^{2} - 41 x + 15$
59652	Identify the Zeros and Their Multiplicities	h(x)=x^2-x-20	$h (x) = x^{2} - x - 20$
59653	Add	(3x-1)/(2x)+(3x)/(x-1)	$\frac{3 x - 1}{2 x} + \frac{3 x}{x - 1}$
59654	Identify the Zeros and Their Multiplicities	5x^3-x^2-45x+9	$5 x^{3} - x^{2} - 45 x + 9$
59655	Simplify	square root of 17/3	$\sqrt{\frac{17}{3}}$
59656	Identify the Zeros and Their Multiplicities	-7x^2(x^2-11)	$- 7 x^{2} (x^{2} - 11)$
59657	Identify the Zeros and Their Multiplicities	7x^3-x^2-112x+16	$7 x^{3} - x^{2} - 112 x + 16$
59658	Add	9/(x-3)+(2x)/(x+1)	$\frac{9}{x - 3} + \frac{2 x}{x + 1}$
59659	Identify the Zeros and Their Multiplicities	7x^3-x^2-343x+49	$7 x^{3} - x^{2} - 343 x + 49$
59660	Add	5/(x-5)+x/(x-5)	$\frac{5}{x - 5} + \frac{x}{x - 5}$
59661	Identify the Zeros and Their Multiplicities	7x^3-x^2-175x+25	$7 x^{3} - x^{2} - 175 x + 25$
59662	Identify the Zeros and Their Multiplicities	7x^3-x^2-252x+36	$7 x^{3} - x^{2} - 252 x + 36$
59663	Identify the Zeros and Their Multiplicities	7x^3-x^2-448x+64	$7 x^{3} - x^{2} - 448 x + 64$
59664	Add	7/(x+8)+7/(x^2-64)	$\frac{7}{x + 8} + \frac{7}{x^{2} - 64}$
59665	Identify the Zeros and Their Multiplicities	7x^4-6x^3+62x^2-54x-9	$7 x^{4} - 6 x^{3} + 62 x^{2} - 54 x - 9$
59666	Add	(7n)/(n+1)+8/(n-7)	$\frac{7 n}{n + 1} + \frac{8}{n - 7}$
59667	Add	6/(x^2+16x+64)+5/(x^2+2x-48)	$\frac{6}{x^{2} + 16 x + 64} + \frac{5}{x^{2} + 2 x - 48}$
59668	Identify the Zeros and Their Multiplicities	6x^3-47x^2+36x-7=0	$6 x^{3} - 47 x^{2} + 36 x - 7 = 0$
59669	Factor	f(x)=(1/3)^2	$f (x) = {(\frac{1}{3})}^{2}$
59670	Identify the Zeros and Their Multiplicities	6x^3-5x^2-134x+45	$6 x^{3} - 5 x^{2} - 134 x + 45$
59671	Factor	f(x)=(2/3)	$f (x) = (\frac{2}{3})$
59672	Identify the Zeros and Their Multiplicities	6x^3-x^2-216x+36	$6 x^{3} - x^{2} - 216 x + 36$
59673	Factor	f(x)=(1/3)^0	$f (x) = {(\frac{1}{3})}^{0}$
59674	Identify the Zeros and Their Multiplicities	f(x)=8x^4-72x^3+144x^2	$f (x) = 8 x^{4} - 72 x^{3} + 144 x^{2}$
59675	Find the Exponential Function	(2,5)	$(2, 5)$
59676	Find the Exponential Function	(2,1)	$(2, 1)$
59677	Identify the Zeros and Their Multiplicities	f(x)=7x^4-19x^3-6x^2+28x+8	$f (x) = 7 x^{4} - 19 x^{3} - 6 x^{2} + 28 x + 8$
59678	Multiply	(x^2+4)(x^2-4)	$(x^{2} + 4) (x^{2} - 4)$
59679	Identify the Zeros and Their Multiplicities	f(x)=78x^4+143x^3-39x^2-26x	$f (x) = 78 x^{4} + 143 x^{3} - 39 x^{2} - 26 x$
59680	Expand Using Pascal's Triangle	(2x+3)^5	${(2 x + 3)}^{5}$
59681	Identify the Zeros and Their Multiplicities	f(x)=8(x+3)(x-4)^3	$f (x) = 8 (x + 3) {(x - 4)}^{3}$
59682	Expand Using Pascal's Triangle	(x+2)^6	${(x + 2)}^{6}$
59683	Identify the Zeros and Their Multiplicities	f(x)=7(x-3)(x-4)^3	$f (x) = 7 (x - 3) {(x - 4)}^{3}$
59684	Determine the Nature of the Roots Using the Discriminant	9x^2-24x+16=0	$9 x^{2} - 24 x + 16 = 0$
59685	Subtract	(x^2-5)/(x^2+5x-14)-(x+3)/(x+7)	$\frac{x^{2} - 5}{x^{2} + 5 x - 14} - \frac{x + 3}{x + 7}$
59686	Subtract	(a^2)/(a+9)-81/(a+9)	$\frac{a^{2}}{a + 9} - \frac{81}{a + 9}$
59687	Identify the Zeros and Their Multiplicities	f(x)=6(x-3)(x-5)^3	$f (x) = 6 (x - 3) {(x - 5)}^{3}$
59688	Subtract	(b^2-2b-8)/(b^2+b-2)-6/(b-1)	$\frac{b^{2} - 2 b - 8}{b^{2} + b - 2} - \frac{6}{b - 1}$
59689	Subtract	-3/14-1/(7x)	$- \frac{3}{14} - \frac{1}{7 x}$
59690	Subtract	3/(4x)-2/(x^2)	$\frac{3}{4 x} - \frac{2}{x^{2}}$
59691	Subtract	(3x)/(x^2+3x-10)-(2x)/(x^2+x-6)	$\frac{3 x}{x^{2} + 3 x - 10} - \frac{2 x}{x^{2} + x - 6}$
59692	Identify the Zeros and Their Multiplicities	f(x)=6x^4-23x^3+19x^2+8x-4	$f (x) = 6 x^{4} - 23 x^{3} + 19 x^{2} + 8 x - 4$
59693	Subtract	(2x+1)/(x^2-x-12)-(x-2)/(x^2-x-12)	$\frac{2 x + 1}{x^{2} - x - 12} - \frac{x - 2}{x^{2} - x - 12}$
59694	Identify the Zeros and Their Multiplicities	f(x)=5x^4-13x^3-6x^2+20x+8	$f (x) = 5 x^{4} - 13 x^{3} - 6 x^{2} + 20 x + 8$
59695	Subtract	(2x)/(x^2-x-2)-(4x)/(x^2-3x+2)	$\frac{2 x}{x^{2} - x - 2} - \frac{4 x}{x^{2} - 3 x + 2}$
59696	Simplify	(n root of a)/(n root of b)	$\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
59697	Subtract	2/(21x)-4/(15x^2)	$\frac{2}{21 x} - \frac{4}{15 x^{2}}$
59698	Subtract	2/(x^2-36)-1/(x^2+6x)	$\frac{2}{x^{2} - 36} - \frac{1}{x^{2} + 6 x}$
59699	Subtract	11/(xy^2)-(10y^2)/(8x^2)	$\frac{11}{x y^{2}} - \frac{10 y^{2}}{8 x^{2}}$
59700	Subtract	6/x-5/(x+2)	$\frac{6}{x} - \frac{5}{x + 2}$