7.6 multiplying a polynomial by a monomial objective: a)multiply a polynomial by a monomial b)solve...
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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
Polynomial Multiplied by a Monomial
•To find the product of a polynomial and monomial we can use the DISTRIBUTIVE PROPERTY
Example-Find the Product
-3x2(7x2 – x + 4)
-6d3(3d4 – 2d3 – d + 9)
You Try
2x2(x2+3x)
5a2( -4a2 + 2a –7 )
4m2(9m2n+mn-5n2)
Example- Simplify the expression
2p( -4p2+5p) – 5(2p2+20)
-3a(2a-12) + 5a
You Try- Simplify the expressions
-9g(-2g+g2) + 3(g2+4)
6(12b2-2b) + 7(-2 – 3b)
Solve the equation
-6(11-2x)=7(-2 – 2x)
Solve the equation
a(a – 6) + 2a = 3 + a(a – 2)
You Try- Solve for a
2a(5a – 2) + 3a(2a+6) + 8 =
a(4a + 1) + 2a(6a – 4) + 50
You Try, Solve for x
2x(x + 4) + 7 = (x + 8) + 2x(x+1) +12
Homework
Page 442 #19 - 43
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