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7-3 Multiplying Binomials

Write a polynomial in standard form for the volume of the rectangular prism shown.
5x+1
3x - 4
X+2

User Phylax
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1 Answer

6 votes

Answer:

Explanation:

Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)

Volume of the rectangular prism = length *width * height

= (5x + 1) (3x -4)(x +2)

= [ 5x*3x + 5x*(-4) + 1*3x + 1*(-4) ] (x + 2)

= [15x² - 20x + 3x - 4] (x +2) {Combine like terms}

= [15x² - 17x - 4] (x + 2)

=[15x² -17x - 4]*(x) + [15x² - 17x -4]*2

= [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2 - 4*2

= 15x³ - 17x² - 4x + 30x² - 34x - 8

= 15x³ - 17x² + 30x² - 4x - 34x - 8 {Combine like terms}

= 15x³ + 13x² - 38x - 8

User Kunzmi
by
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