MULTIPLYING POLYNOMIALS. OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students.

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Presentation transcript:

MULTIPLYING POLYNOMIALS

OBJECTIVE NCSCOS 1.01 b – Write equivalent forms of algebraic expressions to solve problems. Operate with polynomials Students will know how to multiply polynomials by using the box method. They will use the rules of exponents and combining like terms to solve problems.

MULTIPLYING POLYNOMIALS Binomial X Binomial (3x + 2)(5x + 4)

BOX Method STEP 1: Draw the BOX

BOX Method 2x2 for a Binomial x Binomial

BOX Method STEP 2: Place terms on outside

BOX Method STEP 3: Multiply Find the area of each box.

BOX Method STEP 4: Combine Like Terms

BOX Method Why can’t I just combine like terms? Because we’re multiplying, not adding!

BOX Method LET’S SEE THAT AGAIN!

STEP 1: Draw the BOX

BOX Method 2x2 for a Binomial x Binomial

BOX Method STEP 2: Place terms on outside

BOX Method STEP 3: Multiply Find the area of each box.

BOX Method STEP 4: Combine Like Terms

BOX Method

AND AGAIN!

STEP 1: Draw the BOX

BOX Method 2x2 for a Binomial x Binomial

BOX Method STEP 2: Place terms on outside

BOX Method STEP 3: Multiply Find the area of each box.

BOX Method STEP 4: Combine Like Terms

BOX Method

YOU TRY 1.(5x – 1)(4x + 11) 2.(2x – 3)(3x + 4) 3.(2x 2 + 3x)(4x 2 – 2x)

BOX Method 2x2 for a Binomial x Binomial

BOX Method

What about a binomial x trinomial?

1.(x 2 – 2x + 3)(2x + 4) 2.(2x + 3)(4x 2 – 2x + 4) 3.(4x – 2)(5x 2 – 4x – 3)

1.(x + 3)(x + 2) 2.(2x + 4)(3x – 2) 3.(-3x + 4)(5x – 6) 4.(7x – 5)(5x – 7) 5.(3x – 4)(3x 2 – 2x – 4)