7.6 multiplying a polynomial by a monomial objective: a)multiply a polynomial by a monomial b)solve...

7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and

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7.6 Multiplying a Polynomial by a Monomial

Objective: a) Multiply a polynomial by

a monomialb)Solve equations

involving the products of monomials and

polynomials

Page 2: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

Polynomial Multiplied by a Monomial

•To find the product of a polynomial and monomial we can use the DISTRIBUTIVE PROPERTY

Page 3: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

Example-Find the Product

-3x2(7x2 – x + 4)

-6d3(3d4 – 2d3 – d + 9)

Page 4: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

You Try

2x2(x2+3x)

5a2( -4a2 + 2a –7 )

4m2(9m2n+mn-5n2)

Page 5: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

Example- Simplify the expression

2p( -4p2+5p) – 5(2p2+20)

-3a(2a-12) + 5a

Page 6: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

You Try- Simplify the expressions

-9g(-2g+g2) + 3(g2+4)

6(12b2-2b) + 7(-2 – 3b)

Page 7: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

Solve the equation

-6(11-2x)=7(-2 – 2x)

Page 8: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

Solve the equation

a(a – 6) + 2a = 3 + a(a – 2)

Page 9: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

You Try- Solve for a

2a(5a – 2) + 3a(2a+6) + 8 =

a(4a + 1) + 2a(6a – 4) + 50

Page 10: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

You Try, Solve for x

2x(x + 4) + 7 = (x + 8) + 2x(x+1) +12

Page 11: 7.6 Multiplying a Polynomial by a Monomial Objective: a)Multiply a polynomial by a monomial b)Solve equations involving the products of monomials and polynomials

Homework

Page 442 #19 - 43

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1.Multiply a polynomial by a monomial. 2.Multiply a polynomial by a polynomial

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