Multiplying Polynomials

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Presentation transcript:

Multiplying Polynomials

Exponents Remember if you are multiplying numbers with the same base, then ADD the exponents together. Examples:

We will learn how to multiply the following: -A monomial and a polynomial -A binomial and a binomial -A binomial and a trinomial -A trinomial and a trinomial *Always write your answers in standard form!

Multiplying a Monomial by a Monomial

Multiplying a Monomial and a Binomial Note that a (monomial)(binomial) = binomial (1)(2) = 2

Multiplying a Monomial and a Trinomial Note that a (monomial)(trinomial) = trinomial (1)(3) = 3

Try the following: A) 5m3(2m + 7) B) – 2x4(3x2 + 2x – 5) C) – 4y2(3y3 + 22y2 – 4y + 8) A) 10m4 + 35m3 B) – 6x6 – 4x5 + 10x4 C) – 12y5 – 88y4 + 16y3 – 32y2

Multiplying Two Binomials Note that a (binomial)(binomial) = 4-nomial (2)(2) = 4

Multiplying Two Binomials Combine like terms Note that a (binomial)(binomial) = 4-nomial (2)(2) = 4

Try the following: A) (4x + 3)(2x + 1) B) (3k - 2)(2k + 1) C) (m + 5)(3m - 4) A) 8x2 + 4x + 6x + 3 = 8x2 + 10x + 3 B) 6k2 + 3k - 4k - 2 = 6k2 - k - 2 C) 3m2 - 4m + 15m - 20 = 3m2 + 11m - 20