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Long Division Method to Divide Two Polynomials

f x = x 3-3 x...

Question

$f (x) = x^{3} - 3 x^{2} + 5 x - 3$ is divided by g(x) = $x^{2}$ -2. Find quotient and remainder.

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Solution

Quotient - x - 1
Remainder = 5x - 5

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Similar questions

Q. Find the quotient

q (x)

r (x)

of the following when

f (x)

g (x)

.

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

;

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

Q. Find the quotient and remainder when p(x)=

x^{3} - 3 x^{2} + 5 x - 3

is divided by g(x)=

x^{2} - 2

Q. Find the quotient and the remainder when:

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

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

Q. Apply the division algorithm to find the quotient and remainder on dividing f(x) by g(x) as given below:

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

Q. Divide the polynomial

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

by the polynomial

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

. Find the quotient and remainder.

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