# math

Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.

8x2y−10xy2+12x−15y
(8x2y−10xy2)+(12x−15y)
__[blank 1]__
__[blank 2]__

Select one statement for each blank to correctly complete Lana’s work.

Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.

8x2y−10xy2+12x−15y
(8x2y−10xy2)+(12x−15y)
__[blank 1]__
__[blank 2]__

Select one statement for each blank to correctly complete Lana’s work.

blank 1: 2xy(4x−5y)+3(4x−5y)
blank 1: −4x(2xy+3)+5y(2xy+3)
blank 2: (2xy−3)(4x+5y)
blank 1: −2xy(4x+5y)−3(4x+5y)
blank 2: (2xy+3)(4x−5y)
blank 2: −(2xy+3)(4x−5y)
blank 2: (2xy−3)(4x+5y)
blank 1: −2xy(4x+5y)−3(4x+5y)
blank 2: (2xy+3)(4x−5y)
blank 2: −(2xy+3)(4x−5y)

I believe it is
blank 1: −4x(2xy+3)+5y(2xy+3) and blank 2: (2xy+3)(4x−5y)

1. 👍 0
2. 👎 0
3. 👁 225
1. 8x^2y−10xy^2+12x−15y
= 2xy(4x-5y) + 3(4x-5y)
= (2xy+3)(4x-5y)

1. 👍 1
2. 👎 0

## Similar Questions

1. ### math

Omar wanted to know if x−5 is a factor of the polynomial p(x)=x3−6x2−x+30. He applied the Factor Theorem and concluded that x−5 is a factor of p(x), as shown in the following work. Step 1: p(5)=53−6(52)−5+30 Step 2:

asked by Noise on November 28, 2019
2. ### Algebra 1

Just checking my answers. What is the sum or difference? 1. 2x^4 - 8x^4 A. -6x^8 B. -6x^4*** C. -16x^4 D. -16x^8 What is the sum or difference 2. 10y^10 - 14y^10 A. -4y^20 B. -140y^20 C. -140y^10 D. -4y^10*** 3. Write the

asked by Alyssa on October 24, 2016
3. ### Math

Davide wants to find the zeros of the polynomial p(x)=x3−2x2−9x+18. His work is shown below. Step 1: p(x)=(x+3)(x−3)(x−2) Step 2: x+3=0 x−3=0 x−2=0 Step 3: x=2, x=3, x=−3 Explain why Davide’s work shows that 2, 3,

asked by London on December 7, 2019
4. ### Math

Petra is practicing factoring by grouping. She wants to factor the polynomial 16xy−4x^2+28y−7x. Her work is shown below. 16xy−4x^2+28y−7x 4x(4y−x)+7(4y−x) (4x+7)(4y−x) Which statements regarding Petra’s work are

asked by ryan on March 13, 2020
5. ### math help me pls

1. Find the like terms in the expression y + 1.2y + 1.2z. (1 point)y and 1.2y 1.2y and 1.2z y and 1.2z y, 1.2y, and 1.2z 2. Simplify 2 + 17x – 5x + 9. (1 point)19x + 4 12x + 11 22x + 11 15x – 4 3. Simplify 3(5y + 6) – 4. (1

asked by pls help me on November 11, 2012
1. ### Math

One solution of 12x^3-23x^2-3x+2=0 is 2. Find all other solutions. I tried rearranging the equation to factor by grouping, but that 23x^2 is bothersome and I can't get the right answers (I know the answers are 2, 1/4, and -1/3).

asked by Momo on February 3, 2010
2. ### Calculus!! HELP!!

1) The sides of the triangle shown increase in such a way that (dz/dt=1) and (dx/dt=(3dy/dx)) At the instant when x = 12 and y = 5, what is the value of dx/dt? 2) Let f(x) = x^3 − 4. Which of these is the equation for the normal

asked by Prince@18 on December 17, 2016
3. ### MATH

find the like terms in the expression y+ 1.2y + 1.2z. A y and 1.2y B 1.2y and 1.2z C y and 1.2z D y,1.2y, and 1.2z Simplify 2 + 17x - 5x + 9 A 19x + 4 B 12x + 11 C 22x + 11 D 15x - 4 simplify 3(5y+6)-4 A 11y + 14 B 11y + 18 C 15y

asked by Deez Got Hee on October 14, 2015
4. ### Algebra

What is factoring by grouping? When factoring a trinomial by grouping, why is it necessary to write the trinomial in four terms?

asked by Bo on February 22, 2009
5. ### polynomials

i also have theses to solve Factor the polynomial x2 + 5x + 6 completely Solve the given equation by using the quadratic formula. x2 – 7x – 4 = 0 What value is under the square root (or radical) in your answer? (Note: You are

asked by mike on May 15, 2007