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Multiply.
Algebra 1
Section 10.2 C
Multiplying Polynomials #3
1. 8x2(-x3 – 7x + 2)
= 8x2(-x3) + 8x2(-7x) + 8x2(2) distributive property
= - 8x5 – 56x3 + 16x2 multiply {add exponents}
2. -3x2y(-2xy + 3x)
= -3x2y(-2xy) – 3x2y(3x) distributive property
= 6x3y2 – 9x3y multiply {add exponents}
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3. (2x – 4)(-3x + 2)
= 2x(-3x) + 2x(2) – 4(-3x) – 4(2) foil method
= -6x2 + 4x + 12x – 8 multiply {add exponents}
= -6x2 + 16x – 8 combine like terms
4. (-x – 1)(-x + 1)
= -x(-x) –x(1) – 1(-x) – 1(1) foil method
= x2 – x + x – 1 multiply {add exponents}
= x2 – 1 combine like terms
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5.
=
=
=
(-8x2 – 3x)(-2x2 – 5x – 3)
-8x2(-2x2) – 8x2(-5x) – 8x2(-3) – 3x(-2x2) – 3x(-5x) – 3x(-3)
16x4 + 40x3 + 24x2 + 6x3 + 15x2 + 9x multiply {add exponents}
16x4 + 46x3 + 39x2 + 9x combine like terms
6. (½x + 20)(-½x – 30)
= ½x(-½x) + ½x(-30) + 20(-½x) + 20(-30)
= -¼x2 – 15x – 10x – 600 multiply
= -¼x2 – 25x – 600
dist. prop.
foil method
combine like terms
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Perform the indicated operation and simplify.
7. -12(x + 2) + 5(6x – 7) – 4(9x – 6)
= -12x – 24 + 30x – 35 – 36x + 24
= -18x – 35 combine like terms
distributive property {watch signs}
8. 3x3(-2x + 1) – 2x2(4x – 5) + x(x)
= -6x4 + 3x3 – 8x3 + 10x2 + x2 distributive property
= -6x4 – 5x3 + 11x2 combine like terms
{watch signs}
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Algebra 1
Section 10.2 C
Assignment
Multiply.
1.) 5(2x + 3)
2.) 6x(2x2 – 5x + 1)
3.) 2x2(x3 – x2 + 8x – 5)
4.) (2x + 3)(x – 1)
5.) (3a + 7)(3a – 7)
6.) (m + 7)(m + 1)
7.) (3x + 8)(x + 2)
8.) (3x + 2)(x + 5)
9.) (x – 7)(x + 4)
10.) (x2 – 3)(x + 4)
11.)
1
 x

3
 1

 2  x  6
2

12.) (2x – 1)(6x – 7)
13.) (2x2 + 4)(3x + 1)
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