Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
115101	Factor	6x^3+9x^2-27x	$6 x^{3} + 9 x^{2} - 27 x$
115102	Factor	6x^3+6x	$6 x^{3} + 6 x$
115103	Find the Discriminant	8x^2+10x+7=0	$8 x^{2} + 10 x + 7 = 0$
115104	Factor	6x^3+14x^2-12x	$6 x^{3} + 14 x^{2} - 12 x$
115105	Factor	6x^3+26x^2-20x	$6 x^{3} + 26 x^{2} - 20 x$
115106	Find the GCF	21z^5-42z^4+14z^3	$21 z^{5} - 42 z^{4} + 14 z^{3}$
115107	Factor	6x^3+27x^2+12x	$6 x^{3} + 27 x^{2} + 12 x$
115108	Find the GCF	14z^4-70z^3+35z^2	$14 z^{4} - 70 z^{3} + 35 z^{2}$
115109	Factor	6x^3+21x^2-12x	$6 x^{3} + 21 x^{2} - 12 x$
115110	Find Where Undefined/Discontinuous	(3x^2+20x+12)/(9x^2-4)*(3x^2+4x-4)/(x^2+4x-12)	$\frac{3 x^{2} + 20 x + 12}{9 x^{2} - 4} \cdot \frac{3 x^{2} + 4 x - 4}{x^{2} + 4 x - 12}$
115111	Factor	6x^3+21x^2-45x	$6 x^{3} + 21 x^{2} - 45 x$
115112	Find Where Undefined/Discontinuous	((5n^4+40n^3)/(n^2-19n+48))÷((3n^2+15n-72)/(n^2-16n))	$\frac{5 n^{4} + 40 n^{3}}{n^{2} - 19 n + 48} \div \frac{3 n^{2} + 15 n - 72}{n^{2} - 16 n}$
115113	Factor	6x^2-8	$6 x^{2} - 8$
115114	Find Where Undefined/Discontinuous	(y-8)/(y^2-64)	$\frac{y - 8}{y^{2} - 64}$
115115	Factor	6x^2-5x+7	$6 x^{2} - 5 x + 7$
115116	Factor	6x^2-42x+72	$6 x^{2} - 42 x + 72$
115117	Convert to an Improper Fraction	5 5/8	$5 \frac{5}{8}$
115118	Factor	6x^2-4x-10	$6 x^{2} - 4 x - 10$
115119	Factor	6x^2+11x-21	$6 x^{2} + 11 x - 21$
115120	Factor	6x^2+11xy+4y^2	$6 x^{2} + 11 x y + 4 y^{2}$
115121	Convert to an Improper Fraction	3 5/9	$3 \frac{5}{9}$
115122	Factor	6w^2-23w+10	$6 w^{2} - 23 w + 10$
115123	Factor	6w^2+11w-35	$6 w^{2} + 11 w - 35$
115124	Factor	6u^2+29u-42	$6 u^{2} + 29 u - 42$
115125	Factor	6m^2-7m-5	$6 m^{2} - 7 m - 5$
115126	Factor	6m^2-150	$6 m^{2} - 150$
115127	Factor	6k^2+5kp-6p^2	$6 k^{2} + 5 k p - 6 p^{2}$
115128	Factor	6h^2-8h	$6 h^{2} - 8 h$
115129	Find the Distance Between Two Points	(1,2) , (4,3)	$(1, 2) (4, 3)$
115130	Factor	6s^2-s-5	$6 s^{2} - s - 5$
115131	Factor	6t^2+21t-12	$6 t^{2} + 21 t - 12$
115132	Factor	6s^2-13s+6	$6 s^{2} - 13 s + 6$
115133	Factor	6r^2+31r+35	$6 r^{2} + 31 r + 35$
115134	Factor	6r^2-72r+192	$6 r^{2} - 72 r + 192$
115135	Factor	6n^4-6	$6 n^{4} - 6$
115136	Find the Vertex	f(x)=1/4(x+5)^2+2	$f (x) = \frac{1}{4} {(x + 5)}^{2} + 2$
115137	Factor by Grouping	2x^2-7x+3	$2 x^{2} - 7 x + 3$
115138	Factor by Grouping	27x^3-64	$27 x^{3} - 64$
115139	Factor by Grouping	2x+10+xy+5y	$2 x + 10 + x y + 5 y$
115140	Factor by Grouping	35x^2y^2+9xy-2	$35 x^{2} y^{2} + 9 x y - 2$
115141	Factor by Grouping	3x^2-7x+4	$3 x^{2} - 7 x + 4$
115142	Factor by Grouping	5x^2-3x-15x+9	$5 x^{2} - 3 x - 15 x + 9$
115143	Factor by Grouping	56xy-35x+16ry-10r	$56 x y - 35 x + 16 r y - 10 r$
115144	Factor by Grouping	5z^2+15z-az-3a	$5 z^{2} + 15 z - a z - 3 a$
115145	Factor by Grouping	6m^2-7m-3	$6 m^{2} - 7 m - 3$
115146	Factor by Grouping	4x+20+xy+5y	$4 x + 20 + x y + 5 y$
115147	Factor by Grouping	42x^3-30x^2+7x-5	$42 x^{3} - 30 x^{2} + 7 x - 5$
115148	Factor by Grouping	4x^2-25	$4 x^{2} - 25$
115149	Convert to Radical Form	(5x)^(-5/4)	${(5 x)}^{\frac{- 5}{4}}$
115150	Factor by Grouping	6st+21t-10s-35	$6 s t + 21 t - 10 s - 35$
115151	Convert to Radical Form	(7x)^(3/2)	${(7 x)}^{\frac{3}{2}}$
115152	Factor by Grouping	7b^2+48b-7	$7 b^{2} + 48 b - 7$
115153	Convert to Radical Form	(-2a)^(4/3)	${(- 2 a)}^{\frac{4}{3}}$
115154	Convert to Radical Form	(24c)^(2/3)	${(24 c)}^{\frac{2}{3}}$
115155	Factor by Grouping	x^3+3x^2+10x+30	$x^{3} + 3 x^{2} + 10 x + 30$
115156	Convert to Radical Form	k^(-1/6)	$k^{- \frac{1}{6}}$
115157	Factor by Grouping	x^3+2x^2-4x-8	$x^{3} + 2 x^{2} - 4 x - 8$
115158	Convert to Radical Form	(x^(5/6))(x^(1/3))	$(x^{\frac{5}{6}}) (x^{\frac{1}{3}})$
115159	Convert to Radical Form	(2x)^(7/3)	${(2 x)}^{\frac{7}{3}}$
115160	Factor by Grouping	x^2-2x-15	$x^{2} - 2 x - 15$
115161	Factor by Grouping	x^2-36	$x^{2} - 36$
115162	Factor by Grouping	x^2+2x+4	$x^{2} + 2 x + 4$
115163	Factor by Grouping	x^2-1	$x^{2} - 1$
115164	Factor by Grouping	x^2-25	$x^{2} - 25$
115165	Find the Roots (Zeros)	f(x)=(x-3)(3x+1)(x+1)	$f (x) = (x - 3) (3 x + 1) (x + 1)$
115166	Factor by Grouping	x^3-64	$x^{3} - 64$
115167	Factor by Grouping	x^3-4x^2+2x-8	$x^{3} - 4 x^{2} + 2 x - 8$
115168	Find the Roots (Zeros)	p(x)=(3x^4-8x^3+15x-40)(3x-8)^2	$p (x) = (3 x^{4} - 8 x^{3} + 15 x - 40) {(3 x - 8)}^{2}$
115169	Factor by Grouping	x^3+4x^2-9x-36	$x^{3} + 4 x^{2} - 9 x - 36$
115170	Find the Roots (Zeros)	p(x)=x^5-4x^3	$p (x) = x^{5} - 4 x^{3}$
115171	Factor by Grouping	x^3+6x^2+3x+18	$x^{3} + 6 x^{2} + 3 x + 18$
115172	Find the Roots (Zeros)	f(x)=x^2+8x-80	$f (x) = x^{2} + 8 x - 80$
115173	Factor by Grouping	x^3-2x^2+x-2	$x^{3} - 2 x^{2} + x - 2$
115174	Factor by Grouping	12m^2-13m-4	$12 m^{2} - 13 m - 4$
115175	Find the Perfect Square Trinomial	y^2+2y+	$y^{2} + 2 y +$
115176	Factor by Grouping	18xy-4x-9y+2	$18 x y - 4 x - 9 y + 2$
115177	Factor by Grouping	12xy-16x-3y+4	$12 x y - 16 x - 3 y + 4$
115178	Find the Roots (Zeros)	f(x)=-2x^2+16x-20	$f (x) = - 2 x^{2} + 16 x - 20$
115179	Factor by Grouping	140ab-60a^2+168b-72a	$140 a b - 60 a^{2} + 168 b - 72 a$
115180	Factor by Grouping	a^4b+a^2b^3	$a^{4} b + a^{2} b^{3}$
115181	Factor by Grouping	r^2-9tw+3wr-3tr	$r^{2} - 9 t w + 3 w r - 3 t r$
115182	Find the Roots (Zeros)	p(x)=-2(x-3)(x-11)	$p (x) = - 2 (x - 3) (x - 11)$
115183	Factor by Grouping	x^2+16x+64	$x^{2} + 16 x + 64$
115184	Factor by Grouping	x^2+20x+100-x^4	$x^{2} + 20 x + 100 - x^{4}$
115185	Find the LCD	3/x , 2/(x-2)	$\frac{3}{x}$ , $\frac{2}{x - 2}$
115186	Find the LCD	2/(5x+15y) , 1/(2x+6y)	$\frac{2}{5 x + 15 y}$ , $\frac{1}{2 x + 6 y}$
115187	Solve Using the Quadratic Formula	3x^2-8x-60=0	$3 x^{2} - 8 x - 60 = 0$
115188	Find the LCD	2/15 , 3/20	$\frac{2}{15}$ , $\frac{3}{20}$
115189	Solve Using the Quadratic Formula	5x^2-28x+19=0	$5 x^{2} - 28 x + 19 = 0$
115190	Find the LCD	x/(x^3+y^3) , x/(x+y)	$\frac{x}{x^{3} + y^{3}}$ , $\frac{x}{x + y}$
115191	Solve Using the Quadratic Formula	6x^2+1=20	$6 x^{2} + 1 = 20$
115192	Find the LCD	10xy^2 , 15x^2y^3	$10 x y^{2}$ , $15 x^{2} y^{3}$
115193	Find the LCD	7/(3x-15) , (3x)/(2x-10)	$\frac{7}{3 x - 15}$ , $\frac{3 x}{2 x - 10}$
115194	Solve Using the Quadratic Formula	4x^2-9x=-3	$4 x^{2} - 9 x = - 3$
115195	Determine the Possible Number of Real Roots	f(x)=3x^4-5x^3-x^2-8x+4	$f (x) = 3 x^{4} - 5 x^{3} - x^{2} - 8 x + 4$
115196	Find the LCM	18 , 24	$18$ , $24$
115197	Find the LCM	2 , 3	$2$ , $3$
115198	Find the LCM	121x^2-4y^2 , 11x^2+2yx	$121 x^{2} - 4 y^{2}$ , $11 x^{2} + 2 y x$
115199	Find the LCM	15a^2*2b^2 , 21a^3b^3	$15 a^{22} b^{2}$ , $21 a^{3} b^{3}$
115200	Find the LCM	14 , 21	$14$ , $21$