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17-12-2020
Mathematics

contestada

Which polynomial represents the product of 2x - 4 and x2 + 6x - 2 ?
ОА
2x3 + 8
thing
B
2x3 + 8x2 - 4x + 8
с
2x3 + 8x2 - 28x + 8
D
2x3 - 24x - 2

Which polynomial represents the product of 2x 4 and x2 6x 2 ОА 2x3 8 thing B 2x3 8x2 4x 8 с 2x3 8x2 28x 8 D 2x3 24x 2 class=

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akposevictor akposevictor

22-12-2020

Answer:

C. [tex] 2x^3 + 8x^2 - 28x + 8 [/tex]

Step-by-step explanation:

Product of [tex] 2x - 4 [/tex] and [tex] x^2 + 6x - 2 [/tex]

[tex] (2x - 4)(x^2 + 6x - 2) [/tex]

[tex] 2x(x^2 + 6x - 2) -4(x^2 + 6x - 2) [/tex] (distributive property)

[tex] 2x^3 + 12x^2 - 4x -4x^2 - 24x + 8 [/tex]

Collect like terms

[tex] 2x^3 + 12x^2 - 4x^2 - 4x - 24x + 8 [/tex]

[tex] 2x^3 + 8x^2 - 28x + 8 [/tex]

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