Question

On dividing x3 - 8x2 +20x - 10x by a polynomial g(x) the quotient and remainder were (x-4) and 6 respectively find g(x) ​

Answer 1

Step-by-step explanation:

Dividend = Quotient × Divisor + Remainder

x³ - 8x² + 20x - 10 = (x - 4)×g(x) + 6

x³ - 8x² + 20x - 10 - 6 = (x - 4)×g(x)

x³ - 8x² + 20x - 16 = (x - 4)×g(x)

g(x) = x³ - 8x² + 20x - 16 ÷ x - 4

x² - 4x + 4

x - 4 | x³ - 8x² + 20x - 16

x³ - 4x²

- 4x² + 20x - 16

- 4x² + 16x

4x - 16

4x - 16

0

g(x) = x² - 4x + 4

Answer 2

Step-by-step explanation:

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