Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
121101	Solve by Factoring	x^2-9x-12=-4x-6	$x^{2} - 9 x - 12 = - 4 x - 6$
121102	Solve by Factoring	3x^2+12x-15=0	$3 x^{2} + 12 x - 15 = 0$
121103	Solve by Factoring	3x^4-2x^3-37x^2+28x+60=0	$3 x^{4} - 2 x^{3} - 37 x^{2} + 28 x + 60 = 0$
121104	Solve by Factoring	x^4+5x^3+2x^2-20x-24=0	$x^{4} + 5 x^{3} + 2 x^{2} - 20 x - 24 = 0$
121105	Solve by Factoring	x^3-x^2-30x=0	$x^{3} - x^{2} - 30 x = 0$
121106	Solve by Factoring	x^2-20x+72=-3x	$x^{2} - 20 x + 72 = - 3 x$
121107	Solve by Factoring	60x^2+44x=0	$60 x^{2} + 44 x = 0$
121108	Solve by Factoring	x^2+4x-12=4x-3	$x^{2} + 4 x - 12 = 4 x - 3$
121109	Combine	10a-25+5b	$10 a - 25 + 5 b$
121110	Apply the Quadratic Formula	9x^2-6x+82	$9 x^{2} - 6 x + 82$
121111	Round to the Nearest Hundredth	0.348	$0.348$
121112	Find All Complex Solutions	x^3-2x^2+4x-8=0	$x^{3} - 2 x^{2} + 4 x - 8 = 0$
121113	Find All Complex Solutions	2sin(x)-1=0	$2 \sin (x) - 1 = 0$
121114	Find All Complex Solutions	3sec(x)^2-4=0	$3 \sec^{2} (x) - 4 = 0$
121115	Find All Complex Solutions	4sin(x)^2-3=0	$4 \sin^{2} (x) - 3 = 0$
121116	Find All Complex Solutions	n^2-13n=-40	$n^{2} - 13 n = - 40$
121117	Find the GCF	5z^2+45z	$5 z^{2} + 45 z$
121118	Find the GCF	9x^5-18x^4+27x^3	$9 x^{5} - 18 x^{4} + 27 x^{3}$
121119	Find the GCF	18x-9	$18 x - 9$
121120	Find the GCF	30b^9+5ab-15a^2	$30 b^{9} + 5 a b - 15 a^{2}$
121121	Find the GCF	8x^2-28x	$8 x^{2} - 28 x$
121122	Find the GCF	20x^3+30x^2	$20 x^{3} + 30 x^{2}$
121123	Find the GCF	30x-2	$30 x - 2$
121124	Find the GCF	x^7+3x^6	$x^{7} + 3 x^{6}$
121125	Find the GCF	100z^9+50z^6-75z^5	$100 z^{9} + 50 z^{6} - 75 z^{5}$
121126	Find Where Undefined/Discontinuous	(x^2+10x+25)/(x^2-3x-40)	$\frac{x^{2} + 10 x + 25}{x^{2} - 3 x - 40}$
121127	Find Where Undefined/Discontinuous	(7x)/(42x^2-7x)	$\frac{7 x}{42 x^{2} - 7 x}$
121128	Find Where Undefined/Discontinuous	(8x)/(64x^2-8x)	$\frac{8 x}{64 x^{2} - 8 x}$
121129	Find Where Undefined/Discontinuous	(x+8)/(x^2-10x+9)	$\frac{x + 8}{x^{2} - 10 x + 9}$
121130	Find Where Undefined/Discontinuous	(z^2+8z+16)/(z^2-5z-36)	$\frac{z^{2} + 8 z + 16}{z^{2} - 5 z - 36}$
121131	Find Where Undefined/Discontinuous	(a^2)/(2a+6)	$\frac{a^{2}}{2 a + 6}$
121132	Find Where Undefined/Discontinuous	(10x)/(50x^2-10x)	$\frac{10 x}{50 x^{2} - 10 x}$
121133	Solve by Graphing	y=-1 y=-5/2x+4	$y = - 1$ $y = - \frac{5}{2} x + 4$
121134	Find the Third Term	a(n)=3/2(-2)^(n-1)	$a (n) = \frac{3}{2} {(- 2)}^{n - 1}$
121135	Find the 6th Term	20 , -60 , 180 , -540	$20$ , $- 60$ , $180$ , $- 540$
121136	Determine if a Polynomial	(3x^2+1)(2x^2-9)	$(3 x^{2} + 1) (2 x^{2} - 9)$
121137	Find the Quadratic Equation	(2,12)	$(2, 12)$
121138	Find the GCF	24x+48y	$24 x + 48 y$
121139	Find the GCF	4x^3+2x^2y+24x	$4 x^{3} + 2 x^{2} y + 24 x$
121140	Find the GCF	9x^2-21x	$9 x^{2} - 21 x$
121141	Find the 5th Term	20 , -60 , 180 , -540	$20$ , $- 60$ , $180$ , $- 540$
121142	Find the LCD	3/8-3/(3x-4)	$\frac{3}{8} - \frac{3}{3 x - 4}$
121143	Find the LCD	y/(y^2-36)(3y)/(y^2+8y+12)	$\frac{y}{y^{2} - 36} \frac{3 y}{y^{2} + 8 y + 12}$
121144	Expand Using Pascal's Triangle	(3x+4y)^6	${(3 x + 4 y)}^{6}$
121145	Reduce the Fraction	25/65	$\frac{25}{65}$
121146	Reduce the Fraction	3/60	$\frac{3}{60}$
121147	Reduce the Fraction	27/63	$\frac{27}{63}$
121148	Reduce the Fraction	18/63	$\frac{18}{63}$
121149	Reduce the Fraction	30/32	$\frac{30}{32}$
121150	Reduce the Fraction	6/90	$\frac{6}{90}$
121151	Solve for k	-5<-5k-15<20	$- 5 < - 5 k - 15 < 20$
121152	Solve for z	-7<=3/2z+2<=-4	$- 7 \leq \frac{3}{2} z + 2 \leq - 4$
121153	Solve for x	-8<-2x<=2	$- 8 < - 2 x \leq 2$
121154	Solve for x	-10<-2x<=10	$- 10 < - 2 x \leq 10$
121155	Find the Maximum/Minimum Value	100x^2-1700x	$100 x^{2} - 1700 x$
121156	Find the Maximum/Minimum Value	-2x^2+20x-5	$- 2 x^{2} + 20 x - 5$
121157	Find the Maximum/Minimum Value	2x^2-16x-4	$2 x^{2} - 16 x - 4$
121158	Find the Maximum/Minimum Value	-3x^2+24x-1	$- 3 x^{2} + 24 x - 1$
121159	Find the Slope and y-intercept	f(x)=5-5/9x	$f (x) = 5 - \frac{5}{9} x$
121160	Find the Slope and y-intercept	f(x)=2/3x-5	$f (x) = \frac{2}{3} x - 5$
121161	Find the Slope and y-intercept	f(x)=2/9x	$f (x) = \frac{2}{9} x$
121162	Expand Using the Binomial Theorem	(x-4)^9	${(x - 4)}^{9}$
121163	Expand Using the Binomial Theorem	(x-5y)^8	${(x - 5 y)}^{8}$
121164	Expand Using the Binomial Theorem	(w+x)^5	${(w + x)}^{5}$
121165	Expand Using the Binomial Theorem	(y-2)^5	${(y - 2)}^{5}$
121166	Expand Using the Binomial Theorem	(1-x)^6	${(1 - x)}^{6}$
121167	Expand Using the Binomial Theorem	(1+2x)^10	${(1 + 2 x)}^{10}$
121168	Round to the Nearest Tenth	18.84	$18.84$
121169	Round to the Nearest Tenth	1.227	$1.227$
121170	Find the Roots/Zeros Using the Rational Roots Test	2x^4-7x^3+18x^2-42x+36=0	$2 x^{4} - 7 x^{3} + 18 x^{2} - 42 x + 36 = 0$
121171	Find the Roots/Zeros Using the Rational Roots Test	8x^3+34x^2-29x+5	$8 x^{3} + 34 x^{2} - 29 x + 5$
121172	Determine if the Expression is a Perfect Square	a^2+15a+75	$a^{2} + 15 a + 75$
121173	Determine if the Expression is a Perfect Square	m^2+10m+100	$m^{2} + 10 m + 100$
121174	Find the Difference Quotient	f(x)=2x^2-3x-1	$f (x) = 2 x^{2} - 3 x - 1$
121175	Find the Vertex Form	y=x^2-2x+26	$y = x^{2} - 2 x + 26$
121176	Find the Vertex Form	y=-3x^2+24x	$y = - 3 x^{2} + 24 x$
121177	Find the Vertex Form	x^2+y^2-2y-15=0	$x^{2} + y^{2} - 2 y - 15 = 0$
121178	Find the Vertex Form	y=x^2+16x+60	$y = x^{2} + 16 x + 60$
121179	Find the Vertex Form	y=-3x^2-7x+4	$y = - 3 x^{2} - 7 x + 4$
121180	Find the Vertex Form	x=y^2-8y+6	$x = y^{2} - 8 y + 6$
121181	Find the Axis of Symmetry	y=2/3(x-2)^2-5	$y = \frac{2}{3} {(x - 2)}^{2} - 5$
121182	Find the Axis of Symmetry	y=-6(x+4)^2-3	$y = - 6 {(x + 4)}^{2} - 3$
121183	Find the Range	g(x)=\|x-12\|-2	$g (x) = \| x - 12 \| - 2$
121184	Find the Range	f(x)=-1/2x^2+9x-5	$f (x) = - \frac{1}{2} x^{2} + 9 x - 5$
121185	Find the Perfect Square Trinomial	z^2-4z	$z^{2} - 4 z$
121186	Find the Perfect Square Trinomial	g^2-20g+c	$g^{2} - 20 g + c$
121187	Evaluate Using the Given Value	f(-9)=2 square root of -9	$f (- 9) = 2 \sqrt{- 9}$
121188	Evaluate Using the Given Value	cos(x) , x=7pi	$\cos (x)$ , $x = 7 π$
121189	Evaluate Using the Given Value	f(-5)=5(-5)+7	$f (- 5) = 5 (- 5) + 7$
121190	Identify the Zeros and Their Multiplicities	x^3+2x^2-36x-72	$x^{3} + 2 x^{2} - 36 x - 72$
121191	Identify the Zeros and Their Multiplicities	f(x)=6x^3-x^2-216x+36	$f (x) = 6 x^{3} - x^{2} - 216 x + 36$
121192	Identify the Zeros and Their Multiplicities	f(x)=x^3-9x+5	$f (x) = x^{3} - 9 x + 5$
121193	Identify the Zeros and Their Multiplicities	f(x)=2x(x+4)^6(3x-2)^3	$f (x) = 2 x {(x + 4)}^{6} {(3 x - 2)}^{3}$
121194	Identify the Zeros and Their Multiplicities	f(x)=-1/3x(x^2-36)^2	$f (x) = - \frac{1}{3} x {(x^{2} - 36)}^{2}$
121195	Evaluate Using Scientific Notation	0.00003/(2*10^-5)	$\frac{0.00003}{2 \cdot 10^{- 5}}$
121196	Evaluate Using Scientific Notation	(4.210^9)(1.610^-5)	$(4.2 \cdot 10^{9}) (1.6 \cdot 10^{- 5})$
121197	Evaluate Using Scientific Notation	(5.8810^12)(2.2310^2)	$(5.88 \cdot 10^{12}) (2.23 \cdot 10^{2})$
121198	Write as a Function of x	(81^x)/(9^(5x-8))=9^(f(x))	$\frac{81^{x}}{9^{5 x - 8}} = 9^{f (x)}$
121199	Write as a Function of x	x-y^4=1	$x - y^{4} = 1$
121200	Write as a Function of x	(3x-2y)/4=5	$\frac{3 x - 2 y}{4} = 5$