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Algebra 1
Section 10.2 B
Multiplying Polynomials
Multiply.
1. -3x5(2x2 – x – 6)
= -3x5(2x2) – 3x5(- x) – 3x5(- 6)
= -6x7 + 3x6 + 18x5 multiply
distributive property
2. -12x4(3y + 2x)
= -12x4(3y) – 12x4(2x) distributive property
= -36x4y – 24x5 multiply
3. 2 12x 3  6x  24



3
 2 (12x3)  2 (6x)  2 (24)
3
3
3
= 8x3 – 4x + 16 multiply
distributive property
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4. (-2x – 6)(-8x – 7)
= -2x(-8x) – 2x(-7) – 6(-8x) – 6(-7)
= 16x2 + 14x + 48x + 42 multiply
= 16x2 + 62x + 42 combine like terms
foil method
5. (x3 + 4)(5x3 – 4)
= x3(5x3) + x3(- 4) + 4(5x3) + 4(- 4)
= 5x6 – 4x3 + 20x3 – 16 multiply
= 5x6 + 16x3 – 16 combine like terms
foil method
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6. (-6x – 18)(2x - .5)
= - 6x(2x) – 6x(- .5) – 18(2x) – 18(- .5)
= -12x2 + 3x – 36x + 9 multiply
= -12x2 – 33x + 9 combine like terms
7.
=
=
=
foil method
(-3x – 5)(-2x2 – 7x + 9)
-3x(-2x2) – 3x(-7x) – 3x(9) – 5(-2x2) – 5(-7x) – 5(9)
6x3 + 21x2 – 27x + 10x2 + 35x – 45 multiply
6x3 + 31x2 + 8x – 45 combine like terms
distributive property
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Find an expression for the area of the rectangle.
x+1
2x + 3
Area = length × width
Area = (x + 1)(2x + 3)
= x(2x) + x(3) + 1(2x) + 1(3) foil method
= 2x2 + 3x + 2x + 3 multiply
= 2x2 + 5x + 3 combine like terms
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Find an expression for the area of the triangle.
Area = base × height
2
Area = (4x + 2)(12x + 10)
2
= 4x(12x) + 4x(10) + 2(12x) + 2(10)
2
12x + 10
4x + 2
foil method
= 48x2 + 40x + 24x + 20 multiply
2
= 48x2 + 64x + 20 combine like terms
2
= 48x2 + 64x + 20
2
2
2
divide each term by 2
= 24x2 + 32x + 10
© Mr. Sims
Algebra 1
Section 10.2 B
Multiplying Polynomials #2
Multiply.
1.) 6x(3x – 4)
2.) (3m2 – 1)(-6m3)
3.) (3a2 – 7a + 9)(-5a2)
4.) (n + 4)(n + 2)
5.) (2x2 – 5x + 4)(3x + 1)
6.) (x – 4)(x – 2)
7.) (6n + 1)(5n – 3)
8.) (x – 8)(x – 4)
9.) (5x – 2)(x – 6)


10.)  1 x  3 4x  5
2

11.) (3x + 2)(2x + 5)
12.) (4x – 9)(3x + 1)
13.) (4x – 1)(8x2 + 3)
© Mr. Sims
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© Mr. Sims