Factoring by a Monomial

What are the factors of 3a²-75b²?

• 3(a²-25b²)

• 3(a-5b)(a+5b)

• 3(a+5b)(a+5b)

• 3(a-5b)(a-5b)

Tags

CCSS.HSA.APR.C.4

Factor the monomial, 75mn³

• 3*5*5*m*n*n*n

• 3*5*m*n*n*n

• 5*5*m*m*m*n

• 3*3*5*m*n*n*n

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Factor the following completely:

20x³ + 15x²

​ (a)   (​ (b)   )

• 5x²

• 4x + 3

• 15x

• 20x²

• 2x + 3

• 5x

• 4x² + 3

What is the factor of 6x²-24x?

• 6x(x-4)

• 6x(x-24x)

• 6(x²-24x)

• 6x²(1-24x)

Match each expression to its factored form

• (3x-1)(2x+1)

• 3(x+2)²

• 2(x+3)(x-3)

• (x+3)²

What is the GCF of the terms below? 24x³ + 36x² is (a)   .

• 12x2

• 6x

• 24x3

• 36x2

Which of the following is equivalent to w³ + 3w

(a)  

• w (w2+3)

• 3w (w2+1)

• There is no GCF

Tags

CCSS.Math.Content.HSA-APR.B.3

What is the first step in factoring common monomials?

• Divide the given polynomials to the GCF.

• Find the GCF of the coefficient and variable.

• Multiply the exponents.

• Add the coefficient and exponents.