Question 1 (ii)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

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Solution

$p (x) = x^{4} - 3 x^{2} + 4 x + 5 = x^{4} + 0. x^{3} - 3 x^{2} + 4 x + 5$

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

Quotient is $x^{2} + x - 3$ and remainder is 8.

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Question 1 (ii)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

Q. Divide the polynomial

p (x)

by the polynomial

g (x)

and find the quotient and remainder.

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

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

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

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

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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Question 1 (ii) Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: p(x)=x4−3x2+4x+5,g(x)=x2+1−x

p(x)=x4−3x2+4x+5=x4+0.x3−3x2+4x+5 g(x)=x2+1−x=x2−x+1 Quotient is x2+x−3 and remainder is 8.

Question 1 (ii)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

$p (x) = x^{4} - 3 x^{2} + 4 x + 5 = x^{4} + 0. x^{3} - 3 x^{2} + 4 x + 5$

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

Quotient is $x^{2} + x - 3$ and remainder is 8.