Factoring Polynomials Review

What is the Greatest Common Factor (GCF) of a polynomial?

• The lowest degree of all terms in the polynomial

• The highest degree of all terms in the polynomial

• The largest coefficient in the polynomial

• The largest factor that all the terms of the polynomial can be divided by.

• Divide each term by the GCF

• Write the trinomial as a product of two binomials

• Factor out a common binomial

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is factoring by grouping?

• Splitting a polynomial into groups and factoring each separately

• Combining like terms in a polynomial

• Factoring out the GCF of a polynomial

• Writing a polynomial as the product of its factors

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

In which scenario would you use the difference of squares formula to factor a polynomial?

• When the polynomial is a trinomial

• When the polynomial has four terms

• When the polynomial is a binomial with both terms perfect squares

• When the polynomial has a GCF other than 1

Tags

CCSS.HSA.SSE.A.2

How do you recognize a polynomial that can be factored by grouping?

• It has a common factor in all terms

• It consists of four terms that can be divided into two pairs with a common factor

• It is a trinomial

• It is a binomial

Tags

CCSS.HSA.SSE.A.2

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

When would you choose fast factoring over other methods?

• When the polynomial has more than four terms

• When the leading coefficient of a quadratic trinomial is 1

• When factoring a difference of squares

• When the polynomial is a sum of cubes

Tags

CCSS.HSA.SSE.A.2

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.2

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3