Algebra I Fundamentals : Factoring Out the GCF

Factor -3x - 3y - 3z.

-3(x + y + z)

Factor -4d3 + 28d2 - 4d.

-4d(d 2 - 7d + 1)

Factor 48m - 80n.

16(3m - 5n)

Factor 2a5b + 2a4b2 + 2a3b3.

2a 3b(a 2 + ab + b 2)

Factor 10x3 + 8x2 - 6x.

2x(5x 2 + 4x - 3)

Factor 5k2 - 35k3.

5k 2(1 - 7k)

Factor 30y2z + 12yz2 - 18yz.

6yz(5y + 2z - 3)

Factor 14a - 7b.

7(2a - b)

Factor 16p4 - 24p3.

8p 3(2p - 3)

-24a3b3c3 - 84a4b2c factored equals -12a3b2c(2bc2 + 7a).

True

Polynomial

a term or a sum of terms whose variables have whole number exponents

Factor a2bc + ab2c + abc2.

abc(a + b + c)

Factor

an integer that divides evenly into another; a polynomial that divides evenly into another; the process of writing a polynomial as a product of prime factors

Factor 4n4 + n3.

n 3(4n + 1)

What is the missing expression?x8 + 3x5 = x5(_____)

x 3 + 3

Factor x4y2 + x3y3.

x 3y 2(x + y)