Divide the polynomials $p (x)$ by the polynomials $q (x)$ . Find the quotient and remainder. $p (x) = x^{3} - 3 x^{2} + 5 x - 3, q (x) = x^{2} - 2$

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Solution

Consider the given polynomial.

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

$q (x) = x^{2} - 2$

Therefore, the working steps are shown in figure,

Hence, the quotient is $(x - 3)$ and remainder is $(7 x - 9)$ .

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Similar questions

p (x)

g (x)

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

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

p (x)

q (x)

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

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

g (x) = x^{2} - 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:

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

P (x) + q (x) = x^{2} - 4 x + 1 a n d P (x) - q (x) = x^{2} + 5 x - 2

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