Factoring Polynomials with Coefficient

In each term of an expression, the numbers which are being multiplied by variable factors are called

• Constants

• Coefficients

• Factors

• Products

When factoring a polynomial with 4 terms, such as 4b²+8b-7b-14, we should be using the ___________ method

• Expanding

• Grouping

• Ungrouping

• Consolidating

Finding all the terms which, when multiplied, result in a given polynomial is called

• Distributing a polynomial

• Factoring a polynomial

• Grouping a polynomial

• Summing a polynomial

The first step of factoring a polynomial completely is

• Use the factoring method for ax²+ bx + c

• Look for a special product

• Give up and guess "Prime"

• Look for a GCF

The second step of factoring a polynomial completely is

• Use the factoring method for ax²+ bx + c

• Look for a special product

• Find someone who actually enjoys math and ask them.

• Look for a GCF

When we factor the polynomial x² + 6x - 12, we look for factors of ______ that add up to _____

• -6, 12

• 6, -12

• 12, -6

• -12, 6

8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

Factor:

x² - 9

• (x + 3)(x - 3)

• (x + 3)²

• (x - 3)²

• (x+3)(x+3)

Factor the GCF

10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor: 3x+9

• 3(x+3)

• 3(x+9)

• 3x(x+3)

• 3(3x+9)