Question

I need help with 27 and 28 does anyone know??

Answer 1

`27)x {}^(3) + 3x {}^(2) - 10x - 24 \\ 28)x {}^(3) - 9 {}^(2) + 8x + 60`

Explanation:

Greetings!!

`27)(x - 3)(x + 2)(x + 4)`

Expand; (x-3)(x+2): x^2-x-6

Apply FOIL method: (a+b) (c+d) = ac+ad+bc+bd

`(x - 3)(x + 2) = x.x + x.2 - 3.x - 3.2`

simplify

`x {}^(2) - x - 6`

`x {}^(2) - x - 6.(x + 4)`

distribute parentheses

`= x {}^(2) .x + x {}^(2) .4 - x.x - x.4 - 6.x - 6.4 \\ = x {}^(3) + 4x {}^(2) - x {}^(2) - 6x - 24`

simplify/ Add similar elements

`x {}^(3) + 3x {}^(2) - 10x - 24`

Thus, use the same format for question number 28 and you will get the value

`x {}^(3) - 9x {}^(2) + 8x + 60`

If you have any questions or there is sth unclear tag me on comment box

Hope it helps!!