Warm up Simplify each expression put into standard

Warm up • Simplify each expression, put into standard form and name based on degree and number of terms • 4 x 2 (2 x + 3 x 2 + 5) • (x + 2)4

Dividing monomials

Dividing monomials

To divide a monomial by a monomial • Divide the coefficients • Subtract the exponents

To divide a polynomial by a monomial • Split the polynomial into separate terms • Divide the coefficients • Subtract the exponents

dividing a polynomial by a monomial

Simplify

Simplify

Divide a polynomial by a monomial

Divide a polynomial by a monomial

Divide a polynomial by a monomial (20 c 4 d 2 f – 16 cdf 2 + 4 cdf) / (4 cdf)

Greatest Common Factor (GCF) • The greatest common factor is the largest factor that two numbers share. • Let’s find the GCF of 12 and 42. First, we need to make a list of factors for each number.

Greatest Common Factor (GCF) • The greatest common factor is the largest factor that two numbers share. • Let’s find the GCF of 25 a 2 and 15 a

Greatest common factor • What is the greatest common factor of • 4 x 2, 2 x 3, and 8 x? • 2 xy, 6 x 2 y, 12 xy 2

Factor using the greatest common factor • Decide what the greatest common factor is • Divide each term by that greatest common factor ▫ Divide the coefficients ▫ Subtract the exponents

Factor using the greatest common factor • 4 x - 8 • 12 x 2 + 4 x

Factor using the greatest common factor • 6 x + 3 • -4 x 3 + 2 x 2

Factor using the greatest common factor • 28 a 2 b + 56 abc 2

Factor 20 x 2 - 24 xy 1. 2. 3. 4. x(20 – 24 y) 2 x(10 x – 12 y) 4(5 x 2 – 6 xy) 4 x(5 x – 6 y)

Factor 2 28 a + 21 b - 2 2 35 b c

Factor 16 xy 2 - 24 y 2 z + 40 y 2 1. 2. 3. 4. 2 y 2(8 x – 12 z + 20) 4 y 2(4 x – 6 z + 10) 8 y 2(2 x - 3 z + 5) 8 xy 2 z(2 – 3 + 5)