Assignment attached

Algebra 2 Name ______________________________________________________ Date: ____________________ Factoring Quadratics – Part 2 Quiz

Solve the quadratic equations. 1.) Factor: 2x2 + 5x + 2 = 0

Identify: a = b = c = a ∙ c = Factors of a ∙ c Add to b

Rewrite b using the factors of a ∙ c: 2x2 2 = 0

Factor the GCF: ( ) + ( ) = 0

Write as a Product of Two Factors: ( )( ) = 0

Use the Zero Property to solve for x:

2.) Factor: 6x2 + 11x + 3 = 0

Identify: a = b = c = a ∙ c = Factors of a ∙ c Add to b

Rewrite b using the factors of a ∙ c: 6x2 3 = 0

Factor the GCF: ( ) + ( ) = 0

Write as a Product of Two Factors: ( )( ) = 0

Use the Zero Property to solve for x:

3.) Factor: 2x2 + 7x − 15 = 0

Identify: a = b = c = a ∙ c = Factors of a ∙ c Add to b

Rewrite b using the factors of a ∙ c: 2x2 15 = 0

Factor the GCF: ( ) + ( ) = 0

Write as a Product of Two Factors: ( )( ) = 0

Use the Zero Property to solve for x:

4.) Factor: 2x2 − 7x + 6 = 0

Identify: a = b = c = a ∙ c = Factors of a ∙ c Add to b

Rewrite b using the factors of a ∙ c: 2x2 6 = 0

Factor the GCF: ( ) + ( ) = 0

Write as a Product of Two Factors: ( )( ) = 0

Use the Zero Property to solve for x:

5.) Factor: 6x2 − x − 2 = 0

Identify: a = b = c = a ∙ c = Factors of a ∙ c Add to b

Rewrite b using the factors of a ∙ c: 6x2 2 = 0

Factor the GCF: ( ) + ( ) = 0

Write as a Product of Two Factors: ( )( ) = 0

Use the Zero Property to solve for x:

6.) Solve the equation: 2x2 + 7x = 15

Rewrite into standard form:

Identify: a = b = c = a ∙ c = Factors of a ∙ c

Rewrite b using the factors of a ∙ c: x2 15 = 0

Factor the GCF: ( ) + ( ) = 0

Write as a Product of Two Factors: ( )( ) = 0

Use the Zero Property to solve for x:

7.) Solve the equation: 25x2 + 4 = 20x

Rewrite into standard form:

Identify: a = b = c = a ∙ c = Factors of a ∙ c

Rewrite b using the factors of a ∙ c:

Factor the GCF: ( ) + ( ) = 0

Write as a Product of Two Factors: ( )( ) = 0

Use the Zero Property to solve for x: