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Byju's Answer

Standard IX

Mathematics

Factor Theorem

If fx=x4-2 x3...

Question

If f(x) = x⁴ − 2x³ + 3x² − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b

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Solution

When polynomial divided by

The remainder is 6.

i.e.

Thus, the value of

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Similar questions

Q. The polynomial

f (x) = x^{4} - 2 x^{3} + 3 x^{2} - a x + b

when divided by

(x - 1)

and

(x + 1)

leaves the remainders

5

and

19

respectively . Find the value of

a

and

b

. Hence , find the remainder when

f (x)

is divided by

(x - 3)

Q. If

f (x) = x^{4} - 2 x^{3} + 3 x^{2} - a x + b

is a polynomial such that when it is divided by

(x - 1)

and

(x + 1)

, then the remainders are

5

and

19

respectively. If

f (x)

is divided by

(x - 2)

, then the remainder is:

Q. If

f (x) = x^{4} - 2 x^{3} + 3 x^{2} - a x + b

is a polynomial such that when it is divided by

x - 1

and

x + 1

, the remainder are respectively

5

and

19

. Determine the remainder when

f (x)

is divided by

(x - 2)

Q. If

f (x) = x^{4} - 2 x^{3} + 3 x^{2} - a x + b

is a polynomial such that when it is divided by

(x - 1)

and

(x + 1)

, the remainders are

5

and

19

respectively, the remainder when

f (x)

is divisible by

(x - 2)

When f(x) = $x^{4}$ -2 $x^{3}$ +3 $x^{2}$ -ax+b is divided by x+1 and x-1, we get remainders 19 and 5 respectively. Find the remainder when f(x) is divided by x-3.

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If f(x) = x4 − 2x3 + 3x2 − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b

When polynomial divided by The remainder is 6. i.e. Thus, the value of

If f(x) = x⁴ − 2x³ + 3x² − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b

When polynomial divided by

The remainder is 6.

i.e.

Thus, the value of