Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118101	Factor by Grouping	x^3+6x^2-7x-42	$x^{3} + 6 x^{2} - 7 x - 42$
118102	Find All Complex Solutions	5x^3+x=0	$5 x^{3} + x = 0$
118103	Find the Axis of Symmetry	f(x)=2x^2+10x+11	$f (x) = 2 x^{2} + 10 x + 11$
118104	Find the Axis of Symmetry	f(x)=2x^2+14x+22	$f (x) = 2 x^{2} + 14 x + 22$
118105	Determine if True	5.4=5.04	$5.4 = 5.04$
118106	Find the LCD	8/(x^2+8x-20) , -2/(x^2+2x)	$\frac{8}{x^{2} + 8 x - 20}$ , $\frac{- 2}{x^{2} + 2 x}$
118107	Solve by Completing the Square	3n^2-5n-6=9	$3 n^{2} - 5 n - 6 = 9$
118108	Solve by Completing the Square	2x^2-8x-14=0	$2 x^{2} - 8 x - 14 = 0$
118109	Solve by Completing the Square	x^2+20x-4=0	$x^{2} + 20 x - 4 = 0$
118110	Solve by Completing the Square	x^2-14x+53=9	$x^{2} - 14 x + 53 = 9$
118111	Solve by Completing the Square	x^2-24x=-80	$x^{2} - 24 x = - 80$
118112	Solve by Completing the Square	x^2+6x-19=0	$x^{2} + 6 x - 19 = 0$
118113	Solve by Completing the Square	x^2+5x=3x+11	$x^{2} + 5 x = 3 x + 11$
118114	Expand the Trigonometric Expression	(f+g)(x)	$(f + g) (x)$
118115	Complete the Square	4x^2-12x+	$4 x^{2} - 12 x +$
118116	Find the Roots/Zeros Using the Rational Roots Test	f(x)=11x^3+124x^2+34x+11	$f (x) = 11 x^{3} + 124 x^{2} + 34 x + 11$
118117	Solve by Substitution	x+y=12 y=5x	$x + y = 12$ $y = 5 x$
118118	Solve by Substitution	-5x+y=-3 3x-8y=24	$- 5 x + y = - 3$ $3 x - 8 y = 24$
118119	Find the x and y Intercepts	(4x-8)/((x-4)(x+1))	$\frac{4 x - 8}{(x - 4) (x + 1)}$
118120	Find the Asymptotes	y=(x-5)/(x^2-7x-8)	$y = \frac{x - 5}{x^{2} - 7 x - 8}$
118121	Find the Slope and y-intercept	5x-6y=-13	$5 x - 6 y = - 13$
118122	Find the Slope and y-intercept	5x-6y-7=0	$5 x - 6 y - 7 = 0$
118123	Find the Slope and y-intercept	5x-y=-1	$5 x - y = - 1$
118124	Find the Slope and y-intercept	5x+6y=11	$5 x + 6 y = 11$
118125	Find the Slope and y-intercept	5(2x-3y)=4	$5 (2 x - 3 y) = 4$
118126	Find the Slope and y-intercept	-7x-4y=-12	$- 7 x - 4 y = - 12$
118127	Find the Slope and y-intercept	9x+3y=1	$9 x + 3 y = 1$
118128	Find the Slope and y-intercept	x-5y=-20	$x - 5 y = - 20$
118129	Find the Slope and y-intercept	y=4/5x-7	$y = \frac{4}{5} x - 7$
118130	Find the Slope and y-intercept	y=-11x+6	$y = - 11 x + 6$
118131	Determine if the Expression is a Perfect Square	1/25h^2	$\frac{1}{25} h^{2}$
118132	Find the Perfect Square Trinomial	u^2-8u+	$u^{2} - 8 u +$
118133	Find the Perfect Square Trinomial	u^2+12u+	$u^{2} + 12 u +$
118134	Find the GCF	28 , 72	$28$ , $72$
118135	Find the GCF	60y , 56x^2	$60 y$ , $56 x^{2}$
118136	Find the Inverse	(-2x-1)/(x+5)	$\frac{- 2 x - 1}{x + 5}$
118137	Find the Inverse	1/3x+5	$\frac{1}{3} x + 5$
118138	Find the Inverse	8x-5	$8 x - 5$
118139	Find the Discriminant	2x^2=7x+5	$2 x^{2} = 7 x + 5$
118140	Find the Discriminant	-4m^2-4m+5=0	$- 4 m^{2} - 4 m + 5 = 0$
118141	Identify the Sequence	16 , 4 , 1 , 4	$16$ , $4$ , $1$ , $4$
118142	Find the Slope	-2y=11	$- 2 y = 11$
118143	Find the Slope	y=-1/2x+1/4	$y = - \frac{1}{2} x + \frac{1}{4}$
118144	Find the Slope	(3,0) , (6,2)	$(3, 0) (6, 2)$
118145	Find the Slope	x=2/9	$x = \frac{2}{9}$
118146	Find the Slope	5x+4y=5	$5 x + 4 y = 5$
118147	Find the Slope	3x-8y=16	$3 x - 8 y = 16$
118148	Identify the Sequence	24 , -6 , 3/2	$24$ , $- 6$ , $\frac{3}{2}$
118149	Find the Slope	(-7,-4) , (8,8)	$(- 7, - 4) (8, 8)$
118150	Find the Slope	4x-4y=16	$4 x - 4 y = 16$
118151	Solve Using the Square Root Property	x^2+6=31	$x^{2} + 6 = 31$
118152	Solve Using the Square Root Property	11x^2+7=0	$11 x^{2} + 7 = 0$
118153	Solve Using the Square Root Property	x^2+7=-300	$x^{2} + 7 = - 300$
118154	Solve Using the Square Root Property	2x^2+11=131	$2 x^{2} + 11 = 131$
118155	Solve Using the Square Root Property	2(x+8)^2=40	$2 {(x + 8)}^{2} = 40$
118156	Solve Using the Square Root Property	3(x+3)^2=60	$3 {(x + 3)}^{2} = 60$
118157	Solve Using the Square Root Property	(x-4)^2=7	${(x - 4)}^{2} = 7$
118158	Divide Using Synthetic Division	(x^4-6x^3-40x+33)÷(x-7)	$(x^{4} - 6 x^{3} - 40 x + 33) \div (x - 7)$
118159	Divide Using Synthetic Division	(6x^2-8x-2)÷(x-1)	$(6 x^{2} - 8 x - 2) \div (x - 1)$
118160	Divide Using Synthetic Division	(x^3-13x^2+47x-35)/(x-1)	$\frac{(x^{3} - 13 x^{2} + 47 x - 35)}{x - 1}$
118161	Divide Using Synthetic Division	(x^3-4x^2+6x-4)/(x-2)	$\frac{(x^{3} - 4 x^{2} + 6 x - 4)}{(x - 2)}$
118162	Divide Using Synthetic Division	(8n^2-26n+20)÷(n-2)	$(8 n^{2} - 26 n + 20) \div (n - 2)$
118163	Divide Using Synthetic Division	(x^3-7x^2-7x+20)/(x+4)	$\frac{(x^{3} - 7 x^{2} - 7 x + 20)}{(x + 4)}$
118164	Find the Maximum/Minimum Value	f(x)=3x^2+24x-1	$f (x) = 3 x^{2} + 24 x - 1$
118165	Find the Maximum/Minimum Value	f(x)=(x^2)/2+2x-1	$f (x) = \frac{x^{2}}{2} + 2 x - 1$
118166	Find the Maximum/Minimum Value	f(x)=-x^2-3x+1	$f (x) = - x^{2} - 3 x + 1$
118167	Find the Maximum/Minimum Value	f(x)=3x^2-12x-3	$f (x) = 3 x^{2} - 12 x - 3$
118168	Find the Maximum/Minimum Value	f(x)=3x^2-12x-8	$f (x) = 3 x^{2} - 12 x - 8$
118169	Rationalize the Denominator	1/(1+ square root of x)	$\frac{1}{1 + \sqrt{x}}$
118170	Rationalize the Denominator	5/(5-2 square root of 3)	$\frac{5}{5 - 2 \sqrt{3}}$
118171	Find the Slope and y-intercept	f(x)=3/4x-5	$f (x) = \frac{3}{4} x - 5$
118172	Divide Using Long Polynomial Division	(x^2-4)÷(x+4)	$(x^{2} - 4) \div (x + 4)$
118173	Divide Using Long Polynomial Division	(10x^3+x^2-21x+9)/(5x-7)	$\frac{10 x^{3} + x^{2} - 21 x + 9}{5 x - 7}$
118174	Divide Using Long Polynomial Division	(6x^2-5x+9)÷(2x-1)	$(6 x^{2} - 5 x + 9) \div (2 x - 1)$
118175	Divide Using Long Polynomial Division	(15x+14x^2-40)÷(-2x-5)	$(15 x + 14 x^{2} - 40) \div (- 2 x - 5)$
118176	Divide Using Long Polynomial Division	(r^2+14r+38)÷(r+8)	$(r^{2} + 14 r + 38) \div (r + 8)$
118177	Solve by Addition/Elimination	4x+8y=20 -4x+2y=-30	$4 x + 8 y = 20$ $- 4 x + 2 y = - 30$
118178	Determine if a Polynomial	20x^2+y^(1/2)	$20 x^{2} + y^{\frac{1}{2}}$
118179	Determine if a Polynomial	7a^2b+3b^2-a^2b	$7 a^{2} b + 3 b^{2} - a^{2} b$
118180	Convert to an Improper Fraction	-7 1/3	$- 7 \frac{1}{3}$
118181	Convert to an Improper Fraction	7 1/8	$7 \frac{1}{8}$
118182	Find the Second Term	d(n)=5/16(2)^(n-1)	$d (n) = \frac{5}{16} {(2)}^{n - 1}$
118183	Find the Third Term	d(n)=5/16(2)^(n-1)	$d (n) = \frac{5}{16} {(2)}^{n - 1}$
118184	Find the GCF	16x^3+28x^5y	$16 x^{3} + 28 x^{5} y$
118185	Find the GCF	2m^3+10m^2+12m	$2 m^{3} + 10 m^{2} + 12 m$
118186	Find Where Undefined/Discontinuous	(3x^2+19x+6)/(9x^2-1)*(3x^2+2x-1)/(x^2+5x-6)	$\frac{3 x^{2} + 19 x + 6}{9 x^{2} - 1} \cdot \frac{3 x^{2} + 2 x - 1}{x^{2} + 5 x - 6}$
118187	Find the 6th Term	2 , 1 , -2 , -7 , -14	$2$ , $1$ , $- 2$ , $- 7$ , $- 14$
118188	Convert to an Improper Fraction	6 2/9	$6 \frac{2}{9}$
118189	Convert to an Improper Fraction	8 9/10	$8 \frac{9}{10}$
118190	Identify the Zeros and Their Multiplicities	x^3-38x^2+361x	$x^{3} - 38 x^{2} + 361 x$
118191	Identify the Zeros and Their Multiplicities	f(x)=(x-1)^3(x+2)^2	$f (x) = {(x - 1)}^{3} {(x + 2)}^{2}$
118192	Identify the Zeros and Their Multiplicities	f(x)=-2x(3x+1)^2(x+7)^7	$f (x) = - 2 x {(3 x + 1)}^{2} {(x + 7)}^{7}$
118193	Identify the Zeros and Their Multiplicities	f(x)=x^4-30x^2+125	$f (x) = x^{4} - 30 x^{2} + 125$
118194	Find the Vertex	y=-6(x+4)^2-3	$y = - 6 {(x + 4)}^{2} - 3$
118195	Find the Vertex	y=x^2-6x+17	$y = x^{2} - 6 x + 17$
118196	Find the Vertex	y=-1/4x^2-1/5x	$y = - \frac{1}{4} x^{2} - \frac{1}{5} x$
118197	Find the Vertex	y=2(x-7)^2	$y = 2 {(x - 7)}^{2}$
118198	Find the Vertex	y=4x^2+16x+5	$y = 4 x^{2} + 16 x + 5$
118199	Find the Vertex	y=4-2x-x^2	$y = 4 - 2 x - x^{2}$
118200	Find the Roots (Zeros)	12x^3+16x^2-15x+2=0	$12 x^{3} + 16 x^{2} - 15 x + 2 = 0$