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Long Division Method to Divide Two Polynomials

If the degree...

Question

If the degree of the divisor g(x) is one then the degree of the remainder r(x) is

A

2

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B

1

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C

3

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D

0

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Solution

The correct option is D
0

The process of division is stopped when the remainder is zero or its degree is less than the degree of the divisor.

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Similar questions

p (x) = x^{3} + 8 x^{2} - 7 x + 12

g (x) = x - 1

p (x)

g (x)

q (x)

r (x)

as quotient and remainder respectively. If

a

is the degree of

q (x)

b

is the degree of

r (x)

(a - b) = ?

.

$p (x) = x^{3} + 8 x^{2} - 7 x + 12$ and $g (x) = x - 1$ . If $p (x)$ is divided by $g (x)$ , it gives $q (x)$ and $r (x)$ as quotient and remainder respectively. If $a$ is the degree of $q (x)$ and $b$ is the degree of $r (x)$ , then, $(a - b) = ?$ .

Say true or false:

For polynomials

p (x)

and any non-zero polynomial

g (x)

, there are polynomials

q (x)

r (x)

p (x) = g (x) q (x) + r (x)

r (x) = 0

r (x) <

g (x) .

This statement is correctly explains the remainder theorem.

r (x)

be the remainder when the polynomial

x^{135} + x^{125} - x^{115} + x^{5} + 1

x^{3} - x

f (x) = g (x) q (x) + r (x)

f (x) g (x) q (x)

r (x)

are polynomials, and degree of

r (x) < d e g . g (x)

g (x) < d e g . q (x)

g (x)

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