Factoring Polynomials GCF, a=1, D2S)

Factoring Polynomials GCF

Factoring with a GCF

1. For a number, find the biggest number that divides evenly into both numbers

2. For the exponents, find the smallest power, that will be factored out.
   

Fill in the Blank

What is the biggest number that divides into 4 and 28?

Draw

Circle the smaller exponent.

Factoring with a GCF

Factor

Multiple Choice

Factor:
$$56a^3-8a$$

• $$8a^2(56a^3-8a)$$

• $$8a(7a^2-1)$$

• $$8a(7a^3-a)$$

• $$8a^2(35a^2-a)$$

Math Response

Factor by GCF:

$$6x^2+16x$$

Type answer here

Correct Answer: 2x\left(3x+8\right)

Deg^°

Rad

Math Response

Factor GCF
$$4x^5+4x^3+16x^2$$

Type answer here

Correct Answer: 4x^2\left(x^3+x+4\right)

Deg^°

Rad

Math Response

Factor GCF
$$10x^2+15x-5$$

Type answer here

Correct Answer: 5\left(2x^2+3x-1\right)

Deg^°

Rad

Math Response

Factor GCF:
$$2x^2-8x^3$$

Type answer here

Correct Answer: 2x^2\left(1-4x\right)

Deg^°

Rad