Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
48001	Factor	6x^2+48x	$6 x^{2} + 48 x$
48002	Identify the Zeros and Their Multiplicities	-x^3-5x^2-3x+9	$- x^{3} - 5 x^{2} - 3 x + 9$
48003	Factor	6x^2-7xy-3y^2	$6 x^{2} - 7 x y - 3 y^{2}$
48004	Identify the Zeros and Their Multiplicities	x^3-2x^2-20x-24	$x^{3} - 2 x^{2} - 20 x - 24$
48005	Factor	6x^2-3x-45	$6 x^{2} - 3 x - 45$
48006	Identify the Zeros and Their Multiplicities	-x^3-13x^2-35x+49	$- x^{3} - 13 x^{2} - 35 x + 49$
48007	Factor	6x^2-xy-2y^2	$6 x^{2} - x y - 2 y^{2}$
48008	Identify the Zeros and Their Multiplicities	x^3+x^2-37x+35	$x^{3} + x^{2} - 37 x + 35$
48009	Factor	6w^2-28w+16	$6 w^{2} - 28 w + 16$
48010	Factor	6t^2-54	$6 t^{2} - 54$
48011	Factor	6x^2+17x-3	$6 x^{2} + 17 x - 3$
48012	Identify the Zeros and Their Multiplicities	P(x)=x^4-2x^3-240x-35	$P (x) = x^{4} - 2 x^{3} - 240 x - 35$
48013	Factor	6x^2+13xy+6y^2	$6 x^{2} + 13 x y + 6 y^{2}$
48014	Factor	6r^2-7r+1	$6 r^{2} - 7 r + 1$
48015	Factor by Grouping	8st+36t-10s-45	$8 s t + 36 t - 10 s - 45$
48016	Identify the Zeros and Their Multiplicities	9x^4-48x^3+46x^2+48x+9	$9 x^{4} - 48 x^{3} + 46 x^{2} + 48 x + 9$
48017	Factor by Grouping	49x^3-35x^2+56x-40	$49 x^{3} - 35 x^{2} + 56 x - 40$
48018	Find the Equation of the Parabola	(-2,-20) , (0,-4) , (4,-20)	$(- 2, - 20)$ , $(0, - 4)$ , $(4, - 20)$
48019	Factor by Grouping	4+7xy-14y-2x	$4 + 7 x y - 14 y - 2 x$
48020	Find the Equation of the Parabola	(-2,7) , (1,10) , (2,27)	$(- 2, 7) (1, 10) (2, 27)$
48021	Factor by Grouping	4+9xy-18y-2x	$4 + 9 x y - 18 y - 2 x$
48022	Find the Equation of the Parabola	(5,210) , (1,14) , (-3,10)	$(5, 210) (1, 14) (- 3, 10)$
48023	Factor by Grouping	x^3+6x^2+7x+42	$x^{3} + 6 x^{2} + 7 x + 42$
48024	Find the Equation of the Parabola	(-1,4) , (0,2) , (2,4)	$(- 1, 4)$ , $(0, 2)$ , $(2, 4)$
48025	Find the LCD	3/x , 2/(x-9)	$\frac{3}{x}$ , $\frac{2}{x - 9}$
48026	Find the LCD	(3x)/(x-2) , 2/(x^2-4)	$\frac{3 x}{x - 2}$ , $\frac{2}{x^{2} - 4}$
48027	Find the LCM	6 , 9	$6$ , $9$
48028	Find the Equation of the Parabola	(-2,-1) , (1,-1) , (3,9)	$(- 2, - 1)$ , $(1, - 1)$ , $(3, 9)$
48029	Find the GCF	15x+27	$15 x + 27$
48030	Find the Equation of the Parabola	(1,-2) , (2,-4) , (3,-4)	$(1, - 2)$ , $(2, - 4)$ , $(3, - 4)$
48031	Evaluate Using the Given Value	f(0) = square root of 0	$f (0) = \sqrt{0}$
48032	Find the Equation of the Parabola	(-1,1/4) , (0,1) , (1,4)	$(- 1, \frac{1}{4})$ , $(0, 1)$ , $(1, 4)$
48033	Evaluate Using the Given Value	f(2)=5^2	$f (2) = 5^{2}$
48034	Determine the Types of the Numbers	{3,-6,-15,-24}	${3, - 6, - 15, - 24}$
48035	Combine	x/(x^2-25)+5/(x+5)-6/x	$\frac{x}{x^{2} - 25} + \frac{5}{x + 5} - \frac{6}{x}$
48036	Determine the Types of the Numbers	-560 , 114	$- 560$ , $114$
48037	Find the Domain	f(x)=(4x^2)/(3x)+4 , g(x)=9/x , g(f(x))	$f (x) = \frac{4 x^{2}}{3 x} + 4$ , $g (x) = \frac{9}{x}$ , $g (f (x))$
48038	Combine	(5x)/(x+3)+28/(x-3)-90/(x^2-9)	$\frac{5 x}{x + 3} + \frac{28}{x - 3} - \frac{90}{x^{2} - 9}$
48039	Find the Leading Coefficient	x^4+7x-3x^2-x^3	$x^{4} + 7 x - 3 x^{2} - x^{3}$
48040	Combine	(5x)/(x-3)+90/(x^2-9)-(5x)/(x+3)	$\frac{5 x}{x - 3} + \frac{90}{x^{2} - 9} - \frac{5 x}{x + 3}$
48041	Find the Leading Coefficient	h(x)=-5x+9x^2+x^3	$h (x) = - 5 x + 9 x^{2} + x^{3}$
48042	Find the Roots/Zeros Using the Rational Roots Test	x^4-81	$x^{4} - 81$
48043	Find the Leading Coefficient	-17-4y+8y^2+3y^3	$- 17 - 4 y + 8 y^{2} + 3 y^{3}$
48044	Evaluate	natural log of 1.6	$\ln (1.6)$
48045	Find the Leading Coefficient	2x^6+2-4x^2+5x^7-4x	$2 x^{6} + 2 - 4 x^{2} + 5 x^{7} - 4 x$
48046	Simplify	( square root of -5)^2	${(\sqrt{- 5})}^{2}$
48047	Find the Leading Coefficient	22y^3+z	$22 y^{3} + z$
48048	Simplify	(y^2)^3	${(y^{2})}^{3}$
48049	Find the Domain and Range	(-5,-7)	$(- 5, - 7)$
48050	Solve for x	2x-6>=6(x-2)+8	$2 x - 6 \geq 6 (x - 2) + 8$
48051	Find the Domain and Range	R={(19,58),(21,64),(23,70),(25,76)}	$R = {(19, 58), (21, 64), (23, 70), (25, 76)}$
48052	Find the Domain and Range	(4,9) , (4,10) , (4,11)	$(4, 9)$ , $(4, 10)$ , $(4, 11)$
48053	Write with Rational (Fractional) Exponents	cube root of 125	$\sqrt[3]{125}$
48054	Find the Domain and Range	(7,3) , (-2,-2) , (4,1) , (-9,0) , (0,7)	$(7, 3)$ , $(- 2, - 2)$ , $(4, 1)$ , $(- 9, 0)$ , $(0, 7)$
48055	Write with Rational (Fractional) Exponents	square root of -81	$\sqrt{- 81}$
48056	Write with Rational (Fractional) Exponents	square root of 85	$\sqrt{85}$
48057	Convert to Radical Form	(-64)^(-2/3)	${(- 64)}^{- \frac{2}{3}}$
48058	Find the Domain and Range	{(1,5),(1,6),(1,7)}	${(1, 5), (1, 6), (1, 7)}$
48059	Convert to Radical Form	(2y)^(1/3)	${(2 y)}^{\frac{1}{3}}$
48060	Find the Domain and Range	(-8,-9)	$(- 8, - 9)$
48061	Find the Domain and Range	(-9,-5)	$(- 9, - 5)$
48062	Solve for y	(y-3)^2=4y-12	${(y - 3)}^{2} = 4 y - 12$
48063	Find the Domain and Range	(-9,-7)	$(- 9, - 7)$
48064	Find the Slope and y-intercept	y=2	$y = 2$
48065	Find the Domain and Range	(1,-13)	$(1, - 13)$
48066	Convert to Radical Form	((5^4)/(3^6))^(1/2)	${(\frac{5^{4}}{3^{6}})}^{\frac{1}{2}}$
48067	Find the Domain and Range	(-pi,0) , (0,0) , (pi,0)	$(- π, 0)$ , $(0, 0)$ , $(π, 0)$
48068	Complete the Square	x^2-7x	$x^{2} - 7 x$
48069	Find the Domain and Range	{(-7,-8),(-1,-6),(1,-5),(3,7)}	${(- 7, - 8), (- 1, - 6), (1, - 5), (3, 7)}$
48070	Convert to Radical Form	(3^(1/4))^6	${(3^{\frac{1}{4}})}^{6}$
48071	Convert to Radical Form	y^(5/6)	$y^{\frac{5}{6}}$
48072	Find the Domain and Range	{(6,7),(10,-8),(9,6),(9,2)}	${(6, 7), (10, - 8), (9, 6), (9, 2)}$
48073	Convert to Radical Form	5x^(4/9)	$5 x^{\frac{4}{9}}$
48074	Convert to Radical Form	8m^(1/3)	$8 m^{\frac{1}{3}}$
48075	Find the Domain and Range	(-2,-8)	$(- 2, - 8)$
48076	Find the Domain and Range	(-2,infinity)	$(- 2, \infty)$
48077	Convert to Radical Form	9^-1*9^(1/2)	$9^{- 1} \cdot 9^{\frac{1}{2}}$
48078	Find the Domain and Range	(-2,0) , (2,0) , (0,1)	$(- 2, 0)$ , $(2, 0)$ , $(0, 1)$
48079	Convert to Radical Form	-4^(1/2)	$- 4^{\frac{1}{2}}$
48080	Find the Domain and Range	(-1,-8)	$(- 1, - 8)$
48081	Convert to Radical Form	216^(1/3)	$216^{\frac{1}{3}}$
48082	Find the Domain and Range	{(3,7),(3,8),(3,9)}	${(3, 7), (3, 8), (3, 9)}$
48083	Convert to Radical Form	2^(5/2)	$2^{\frac{5}{2}}$
48084	Find the Domain and Range	{(-4,0),(-2,1),(1,3),(2,6)}	${(- 4, 0), (- 2, 1), (1, 3), (2, 6)}$
48085	Convert to Radical Form	256^(-3/4)	$256^{- \frac{3}{4}}$
48086	Find the Domain and Range	{(2,6),(2,7),(2,8)}	${(2, 6), (2, 7), (2, 8)}$
48087	Convert to Radical Form	11^(1/2)	$11^{\frac{1}{2}}$
48088	Find the Reciprocal	2 3/4	$2 \frac{3}{4}$
48089	Convert to Radical Form	(y^(1/2))/(y^(1/4))	$\frac{y^{\frac{1}{2}}}{y^{\frac{1}{4}}}$
48090	Find the Reciprocal	2 1/2	$2 \frac{1}{2}$
48091	Write in Standard Form	12x^2+12y^2-84y+147=0	$12 x^{2} + 12 y^{2} - 84 y + 147 = 0$
48092	Use the Rational Roots Test to Find All Possible Roots	f(x)=78x^4+143x^3-39x^2-26x	$f (x) = 78 x^{4} + 143 x^{3} - 39 x^{2} - 26 x$
48093	Convert to Interval Notation	\|3x-6\|>12	$\| 3 x - 6 \| > 12$
48094	Convert to Interval Notation	\|3x-6\|>15	$\| 3 x - 6 \| > 15$
48095	Use the Rational Roots Test to Find All Possible Roots	f(x)=14x^3+56x^2+2x-7	$f (x) = 14 x^{3} + 56 x^{2} + 2 x - 7$
48096	Convert to Interval Notation	\|x\|<4	$\| x \| < 4$
48097	Simplify	square root of 35* square root of 10	$\sqrt{35} \cdot \sqrt{10}$
48098	Simplify	square root of 3* square root of 15	$\sqrt{3} \cdot \sqrt{15}$
48099	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^4+5x^3-5x^2+2x-12	$f (x) = 3 x^{4} + 5 x^{3} - 5 x^{2} + 2 x - 12$
48100	Find the Perfect Square Trinomial	x^2-2x+	$x^{2} - 2 x +$