Factoring with GCF Warmup

Factor: 63+45p

• 9(7+5p)

• 5(9 +7p)

• 9p(7 + 5p)

• 7(9+ 5p)

Answer explanation

To factor 63+45p, we can factor out the greatest common factor, which is 9. This gives us 9(7+5p), which matches the correct answer choice.

Tags

CCSS.7.EE.A.1

Factor: -6r+6

• 6(r - 1)

• -6r(r + 1)

• -6(r - 1)

• -6(r + 1)

Answer explanation

To factor -6r+6, factor out -6 to get -6(r-1), which matches the correct answer choice -6(r-1).

Tags

CCSS.7.EE.A.1

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Answer explanation

To factor out the GCF, which is 3x, we divide each term by 3x to get x^2 + 3. Therefore, the correct choice is 3x (x^2 + 3).

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Answer explanation

To factor completely, first find the greatest common factor (GCF) of 3x^2, 18x, and 15, which is 3. Then factor out 3 to get 3(x^2 + 6x + 5). Finally, factor the quadratic expression to get 3(x + 5)(x + 1). Therefore, the correct choice is 3(x + 5)(x + 1).

After identifying the GCF(greatest common factor) what comes next?

• You multiply each term by the GCF

• You subtract each term by the GCF

• You divide each term by the GCF

• You add each term by the GCF

Answer explanation

You divide each term by the GCF

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Answer explanation

The first step when factoring polynomials is to find the GCF (Greatest Common Factor).

GCF stands for Greatest Common _______

Answer explanation

GCF stands for Greatest Common Factor