Question

Determine whether the binomial is a factor of the polynomial

Answer 1

it's not a factor

Explanation:

If (x +7) is a factor,

`g(x) = (x + 7).f(x)`

then, when x = (-7),

`g(x) = (7 - 7).f(x) = 0`

substitute (x=-7) for g(x);

`g( - 7) = 3 * {( - 7)}^(3) - 28 * {( - 7)}^(2) + 29 * ( - 7) + 40 \\ =89`

g(-7) is not equal to 0.

So (x+7) is not a factor of g(x)