Question

Find 2x^3 -3x^2-17x +30 by long division when divided by x-2

Answer 1

Answer:

$\red {\frac{2x³-3x²-17x+30}{x-2}}\green{x-2}$

Step-by-step explanation:

$Let \: p(x) = 2x^{3}-3x^{2}-17x+30\:is \\divided\: by \:g(x) = x-2$

x-2) 2x³-3x²-17x+30(2x²+x-15

***** 2x³-4x²

_______________

********* x² - 17x

********* x² - 2x

_______________

************* -15x + 30

************* -15x + 30

_________________

Remainder ( 0)

Therefore.,

Dividend = p(x) = 2x³-3x²-17x+30,

Divisor = g(x) = x-2,

Remainder = 2x²+x-15

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