Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
37501	Factor	2x^2+23x+11	$2 x^{2} + 23 x + 11$
37502	Identify the Zeros and Their Multiplicities	f(x)=3x^3-x^2-108x+36	$f (x) = 3 x^{3} - x^{2} - 108 x + 36$
37503	Identify the Zeros and Their Multiplicities	f(x)=3x^4-2x^3+74x^2-50x-25	$f (x) = 3 x^{4} - 2 x^{3} + 74 x^{2} - 50 x - 25$
37504	Factor	2x^2+9xy-18y^2	$2 x^{2} + 9 x y - 18 y^{2}$
37505	Factor	2x^2+8x-3	$2 x^{2} + 8 x - 3$
37506	Factor	2x^2-15x+25	$2 x^{2} - 15 x + 25$
37507	Find the Inverse	f(x)=1/3x+2	$f (x) = \frac{1}{3} x + 2$
37508	Convert to Interval Notation	x<0	$x < 0$
37509	Solve for d	d-10-2d+7=8+d-10-3d	$d - 10 - 2 d + 7 = 8 + d - 10 - 3 d$
37510	Simplify	(x^3-1)/(x^2-1)	$\frac{x^{3} - 1}{x^{2} - 1}$
37511	Identify the Zeros and Their Multiplicities	f(x)=2x^3-4x^2-34x+68	$f (x) = 2 x^{3} - 4 x^{2} - 34 x + 68$
37512	Convert to Interval Notation	x^2-8x+15>0	$x^{2} - 8 x + 15 > 0$
37513	Identify the Zeros and Their Multiplicities	f(x)=2x^3-x^2-32x+16	$f (x) = 2 x^{3} - x^{2} - 32 x + 16$
37514	Convert to Interval Notation	x^2-2x+1<0	$x^{2} - 2 x + 1 < 0$
37515	Write with Rational (Fractional) Exponents	sixth root of 27	$\sqrt[6]{27}$
37516	Write with Rational (Fractional) Exponents	sixth root of f	$\sqrt[6]{f}$
37517	Write with Rational (Fractional) Exponents	cube root of y	$\sqrt[3]{y}$
37518	Identify the Zeros and Their Multiplicities	f(x)=4x^3-12x^2-16x	$f (x) = 4 x^{3} - 12 x^{2} - 16 x$
37519	Simplify	square root of 2* square root of 10	$\sqrt{2} \cdot \sqrt{10}$
37520	Identify the Zeros and Their Multiplicities	f(x)=4x^3-9x^2-138x+35	$f (x) = 4 x^{3} - 9 x^{2} - 138 x + 35$
37521	Convert to Interval Notation	\|x\|<9	$\| x \| < 9$
37522	Convert to Interval Notation	\|x\|<5	$\| x \| < 5$
37523	Identify the Zeros and Their Multiplicities	f(x)=9x^4+48x^3+46x^2-48x+9	$f (x) = 9 x^{4} + 48 x^{3} + 46 x^{2} - 48 x + 9$
37524	Simplify	6 square root of 18+3 square root of 50	$6 \sqrt{18} + 3 \sqrt{50}$
37525	Convert to Radical Form	121^(1/2)	$121^{\frac{1}{2}}$
37526	Convert to Radical Form	125^(1/3)	$125^{\frac{1}{3}}$
37527	Convert to Radical Form	(y^(1/3))/(y^(1/6))	$\frac{y^{\frac{1}{3}}}{y^{\frac{1}{6}}}$
37528	Convert to Radical Form	5^(1/4)	$5^{\frac{1}{4}}$
37529	Convert to Radical Form	a^(2/7)	$a^{\frac{2}{7}}$
37530	Convert to Radical Form	8^(4/3)	$8^{\frac{4}{3}}$
37531	Convert to Radical Form	7^(4/3)	$7^{\frac{4}{3}}$
37532	Identify the Zeros and Their Multiplicities	f(x)=x^3+3x^2-219x-221	$f (x) = x^{3} + 3 x^{2} - 219 x - 221$
37533	Convert to Radical Form	4x^(5/6)	$4 x^{\frac{5}{6}}$
37534	Convert to Radical Form	y^(-9/8)	$y^{- \frac{9}{8}}$
37535	Convert to Radical Form	z^(2/3)	$z^{\frac{2}{3}}$
37536	Convert to Radical Form	z^(3/4)	$z^{\frac{3}{4}}$
37537	Find the x and y Intercepts	y=x^2+9x+14	$y = x^{2} + 9 x + 14$
37538	Identify the Zeros and Their Multiplicities	f(x)=x^3-15x^2+73x-111	$f (x) = x^{3} - 15 x^{2} + 73 x - 111$
37539	Complete the Square	x^2-3x	$x^{2} - 3 x$
37540	Complete the Square	x^2-5x	$x^{2} - 5 x$
37541	Identify the Zeros and Their Multiplicities	f(x)=x^3-57x+56	$f (x) = x^{3} - 57 x + 56$
37542	Convert to Radical Form	(a^2b^2)^(1/3)	${(a^{2} b^{2})}^{\frac{1}{3}}$
37543	Convert to Radical Form	36^(1/2)	$36^{\frac{1}{2}}$
37544	Factor	14a^2-68a+48	$14 a^{2} - 68 a + 48$
37545	Identify the Zeros and Their Multiplicities	f(x)=x^3+8x^2-214x-221	$f (x) = x^{3} + 8 x^{2} - 214 x - 221$
37546	Convert to Radical Form	(4x+3)^(3/4)	${(4 x + 3)}^{\frac{3}{4}}$
37547	Identify the Zeros and Their Multiplicities	f(x)=x^3+x^2-37x+35	$f (x) = x^{3} + x^{2} - 37 x + 35$
37548	Convert to Radical Form	(xy)^(1/3)	${(x y)}^{\frac{1}{3}}$
37549	Identify the Zeros and Their Multiplicities	f(x)=x^3+x^2-9x-9	$f (x) = x^{3} + x^{2} - 9 x - 9$
37550	Identify the Zeros and Their Multiplicities	f(x)=x^3+x^2-21x-45	$f (x) = x^{3} + x^{2} - 21 x - 45$
37551	Write with Rational (Fractional) Exponents	cube root of 18	$\sqrt[3]{18}$
37552	Write with Rational (Fractional) Exponents	square root of 34	$\sqrt{34}$
37553	Identify the Zeros and Their Multiplicities	2x^4+12x^3+16x^2-12x-18	$2 x^{4} + 12 x^{3} + 16 x^{2} - 12 x - 18$
37554	Write with Rational (Fractional) Exponents	square root of 16x^2	$\sqrt{16 x^{2}}$
37555	Write with Rational (Fractional) Exponents	square root of 25	$\sqrt{25}$
37556	Write with Rational (Fractional) Exponents	square root of 17/3	$\sqrt{\frac{17}{3}}$
37557	Identify the Zeros and Their Multiplicities	2x^4-7x^3-17x^2+58x-24	$2 x^{4} - 7 x^{3} - 17 x^{2} + 58 x - 24$
37558	Identify the Zeros and Their Multiplicities	3(x-7)(x+3)^2	$3 (x - 7) {(x + 3)}^{2}$
37559	Evaluate Using the Given Value	f(-1)=3^-1	$f (- 1) = 3^{- 1}$
37560	Find the LCD	3/x , 2/(x-5)	$\frac{3}{x}$ , $\frac{2}{x - 5}$
37561	Find the LCM	8 , 12	$8$ , $12$
37562	Identify the Zeros and Their Multiplicities	4x^3-x^2-144x+36	$4 x^{3} - x^{2} - 144 x + 36$
37563	Simplify	2s(s-4)	$2 s (s - 4)$
37564	Identify the Zeros and Their Multiplicities	4(x+7)^2(x-7)^3	$4 {(x + 7)}^{2} {(x - 7)}^{3}$
37565	Find the Inverse	f(x)=-2x+6	$f (x) = - 2 x + 6$
37566	Find the Inverse	f(x)=-2x-1	$f (x) = - 2 x - 1$
37567	Find the Inverse	f(x)=6x+4	$f (x) = 6 x + 4$
37568	Find the Inverse	f(x)=5x+7	$f (x) = 5 x + 7$
37569	Identify the Zeros and Their Multiplicities	f(x)=x^5+6x^4+9x^3	$f (x) = x^{5} + 6 x^{4} + 9 x^{3}$
37570	Find the Inverse	f(x)=7x-8	$f (x) = 7 x - 8$
37571	Find the Inverse	f(x)=4x-12	$f (x) = 4 x - 12$
37572	Identify the Zeros and Their Multiplicities	f(x)=x^8-x^9	$f (x) = x^{8} - x^{9}$
37573	Find the Inverse	f(x)=3x-9	$f (x) = 3 x - 9$
37574	Identify the Zeros and Their Multiplicities	f(x)=x^4+x^3-7x^2-5x+10	$f (x) = x^{4} + x^{3} - 7 x^{2} - 5 x + 10$
37575	Identify the Zeros and Their Multiplicities	f(x)=x^4-20x^2+64	$f (x) = x^{4} - 20 x^{2} + 64$
37576	Identify the Zeros and Their Multiplicities	f(x)=x^4-34x^2+225	$f (x) = x^{4} - 34 x^{2} + 225$
37577	Identify the Zeros and Their Multiplicities	5x^3+27x^2+11x+5	$5 x^{3} + 27 x^{2} + 11 x + 5$
37578	Find the Inverse	y=3x-2	$y = 3 x - 2$
37579	Find the Inverse	f(x)=(x-2)^2	$f (x) = {(x - 2)}^{2}$
37580	Find the Inverse	f(x)=5^x	$f (x) = 5^{x}$
37581	Graph	4x-3y=-1	$4 x - 3 y = - 1$
37582	Identify the Zeros and Their Multiplicities	f(x)=4x^5+3x^2-x+6	$f (x) = 4 x^{5} + 3 x^{2} - x + 6$
37583	Find the Inverse	f(x) = cube root of x+3	$f (x) = \sqrt[3]{x + 3}$
37584	Identify the Zeros and Their Multiplicities	f(x)=9(x-2)(x-4)^3	$f (x) = 9 (x - 2) {(x - 4)}^{3}$
37585	Find the Inverse	f(x)=x^5	$f (x) = x^{5}$
37586	Identify the Zeros and Their Multiplicities	f(x)=7x^4-6x^3+174x^2-150x-25	$f (x) = 7 x^{4} - 6 x^{3} + 174 x^{2} - 150 x - 25$
37587	Identify the Zeros and Their Multiplicities	f(x)=-7(x-4)^2(x+5)^3x^4	$f (x) = - 7 {(x - 4)}^{2} {(x + 5)}^{3} x^{4}$
37588	Identify the Zeros and Their Multiplicities	f(x)=7(x+3)(x-5)^3	$f (x) = 7 (x + 3) {(x - 5)}^{3}$
37589	Simplify	5y^-3	$5 y^{- 3}$
37590	Simplify	square root of y^15	$\sqrt{y^{15}}$
37591	Identify the Zeros and Their Multiplicities	(x+5)^2(x-6)^2	${(x + 5)}^{2} {(x - 6)}^{2}$
37592	Factor	12a^2-36ab+27b^2	$12 a^{2} - 36 a b + 27 b^{2}$
37593	Find the Inverse	f(x)=-4x	$f (x) = - 4 x$
37594	Simplify	(12x^2+7y^3)(4x^2+7y^3)	$(12 x^{2} + 7 y^{3}) (4 x^{2} + 7 y^{3})$
37595	Find the Roots (Zeros)	f(x)=5^x	$f (x) = 5^{x}$
37596	Identify the Zeros and Their Multiplicities	(x^2-9)^4	${(x^{2} - 9)}^{4}$
37597	Find the Domain and Range	f(x)=x^2-4x+1	$f (x) = x^{2} - 4 x + 1$
37598	Simplify	1/(a-b)+4/(b-a)-8/(a+b)-(11a-5b)/(b^2-a^2)	$\frac{1}{a - b} + \frac{4}{b - a} - \frac{8}{a + b} - \frac{11 a - 5 b}{b^{2} - a^{2}}$
37599	Find the Maximum Number of Real Roots	f(x)=x^6-x^4+6	$f (x) = x^{6} - x^{4} + 6$
37600	Simplify	7 square root of 2	$7 \sqrt{2}$