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Long Division Method to Divide Two Polynomials

Question 1 ii...

Question

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

$p (x) = x^{4} - 5 x + 6, g (x) = 2 - x^{2}$

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Solution

$p (x) = x^{4} - 5 x + 6 = x^{4} + 0 x^{2} - 5 x + 6$
$q (x) = 2 - x^{2} = - x^{2} + 2$

Quotient = $- x^{2} - 2$
Remainder = -5x + 10

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

$p (x) = x^{4} - 5 x + 6, g (x) = 2 - x^{2}$

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 in each of the following:

(i)

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

p (x) = x^{4} - 3 x^{2} + 4 x + 5

g (x) = x^{2} + 1 - x

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Long Division Method to Divide Two Polynomials

Standard X Mathematics

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