Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder. p(x) = $2 x^{3} + x^{2} - 6 x - 3$ , g(x) = $x^{2} - 3$ .

q(x) = 2x + 1 and r(x) = 0

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q(x) = 2x + 2 and r(x) = 1

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q(x) = 3x + 2 and r(x) = 1

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q(x) = 3x + 2 and r(x) = 2

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Solution

The correct option is A q(x) = 2x + 1 and r(x) = 0
Given,

f(x) = $2 x^{3} + x^{2} - 6 x - 3$
g(x) = $x^{2} - 3$
So,

Thus,

q(x) = 2x + 1 and r(x) = 0

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Similar questions

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

(i)

(ii)

(iii)

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

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

Q2. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder. 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 $g (x) = x^{2} - 2$ .

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