Multiplying Polynomials

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Presentation transcript:

Multiplying Polynomials Distributing a Monomial * Polynomial

Distributing When we distribute, we multiply one term to all of the terms in a group. Distribute: 5(3x + 4y + 10) Multiply: 5•3x + 5•4y + 5•10) 15x + 20y + 50 Note: After we distribute, we don’t combine the terms because they are not like terms!

Distributing with Exponents The terms in this example have exponents. 3x2(4x2+2x+5) = 3x2•4x2 + 3x2•2x + 3x2•5 Remember the rule for multiplying terms with exponents? Multiply the coefficients, add the exponents. 3x2•4x2 + 3x2•2x + 3x2•5 = 12x2+2 + 6x2+1 + 15x2 12x4 + 6x3 + 15x2

a monomial times a polynomial. Monomial*Polynomial When we distribute, whether it’s a constant or a term with variables, we are multiplying a monomial times a polynomial. For example:

Monomial*Polynomial Multiply these monomials and polynomials: