CP - Lesson: Factoring Trinomials (part 1)

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Factoring Trinomials
Part 1

Objective: Factor 2^nd degree polynomials.​

Math Response

Factor Out a Monomial: 4x² + 2x

Type answer here

Correct Answer: 2x\left(2x+1\right)

Deg^°

Rad

ax² + bx + c

List the factors of the third term

Do they add to be the second term

Write factors with proper signs​

​Factor out the GCF if possible, then ...

​Does a = 1

​YES

​NO

​Multiply outside numbers
Find factors of that answer that add to the middle term
Make fractions using the lead coefficient
Simplify the fractions if you can
Write your binomials

​EXAMPLES

​Factor: 2x² - 2x - 24

Math Response

Factor: 3x² - 3x - 36

Type answer here

Correct Answer: 3\left(x+3\right)\left(x-4\right)

Deg^°

Rad

​EXAMPLES

​Factor: 2x³ + 10x² - 28x

​Factor: 3x²y + 6xy - 24y

Math Response

Factor: 3xy² + 9xy + 6x

Type answer here

Correct Answer: 3x\left(y+2\right)\left(y+1\right)

Deg^°

Rad