Question

factorize using the remainder theorem 2x3 - 9x2 - 11x + 30

Answer 1

Solution:-
$p(x) = {2x}^{3} - 9 {x}^{2} - 11x + 30$
By trial we find that,
$p( - 2) = - 16 - 36 - 22 + 30 \\ = - 52 + 52 \\ = 0$
Therefore,
$(x + y)is \: a \: \: factor$
Divide P(x) with (x+2)
We get,
$2 {x}^{2} - 13x + 15 \\ 2 {x - 10x} - 3x + 15 \\ 2x(x - 5) - 3(x - 5) \\ (2x - 3)(x - 5)$
$p(x) = (x + 2)(2x - 3)(x - 5)$

Answer 2

☝This is the answer

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