Grouping Four-Term Polynomial

What is the purpose of factoring by grouping?

• To use the Distributive Property to factor a polynomial with four terms.

• To combine like terms in a polynomial.

• To expand a polynomial into a sum of terms.

• To simplify a polynomial by dividing by a common factor.

Tags

CCSS.HSA.APR.B.3

Factor the following​ four-term polynomial by grouping. 2x+6+xy+3y

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

When using factor by grouping, how many terms must we have?

• Four or more

• Two

• Three

• Doesn't matter

what is factor by grouping

When do you use grouping?

• When the ends are perfect squares

• When it is a binomial

• When it is a trinomial

• When the polynomial has four terms.

Factor by Grouping:

x³-5x²+5x-25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)