Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder. p(x) = $15 x^{3} - 20 x^{2} + 13 x - 12$ , g(x) = $x^{2} - 2 x + 2$ .

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Solution

Given,

f(x) = 15x³– 20x² + 13x – 12 and g(x) = x²– 2x + 2
So,

Thus,

q(x) = 15x + 10 and r(x) = 3x – 32

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Question 1 (i)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

$p (x) = x^{3} - 3 x^{2} + 5 x - 3, g (x) = x^{2} - 2$

Divide the polynomial $p (x)$ by the polynomial $g (x)$ and find the quotient and remainder of the following.

$p (x) = x^{3} - 3 x^{2} + 5 x - 3$ and $g (x) = x^{2} - 2$ .

p (x) = x^{3} - 3 x^{2} + x + 2

g (x)

(x - 2)

(- 2 x + 4)

g (x)

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