Question

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Which of the following is the correct expansion of (x + 4)(x2 + 2x + 7)?


x3 + 6x2 + 8x + 7


x3 + 6x2 + 15x + 28


x3 + 15x2 + 15x + 28


x3 + 12x2 + 8x + 7

Answer 1

`{x}^(3) + 6 {x}^2 + 15x + 28`

Explanation:

`({x} + 4) * ( {x}^(2) + 2x + 7)`

`{x}^(3) + 2 {x}^(2) + 7x + 4 {x}^(2) + 8x + 28`

`{x}^(3) + 6 {x}^2 + 15x + 28`