Question

${x}^{3} - 2 { x}^{2} - 5x + 6$
​

Answer 1

Step-by-step explanation:

x3-2x2-5x+6

3-4-5x+6

-x-5x

5+6

11

Answer 2

$\huge\mathbf\pink{Hello}$

$put \: x = 1 \\ p(1) = 1 ^{3} - 2 \times 1 ^{2} - 5 + 6 \\ = 1 - 2 - 5 + 6 \\ = 7 - 7 \\ = 0 \\ hence \: (x - 1) \: is \: the \: factor \: of \: p(x). \\ dividing \: p(x) \: by \: (x - 1) \\ (x - 1) \div x ^{3} - 2x ^{2} - 5x + 6 \\ quotient = {x}^{2} - x - 6 \\ p(x) = (x - 1)( {x}^{2} - x - 6) \\ = (x - 1)({x}^{2} + 2x - 3x - 6) \\i \: am \: writing \: directly. \\ = (x - 1)(x + 2)(x - 3)$

$\huge\mathbf\green{Nice\:Question\:Keep\:On\:Asking}$

$\huge\mathbf\blue{Thank\:you}$