x³ − 2x² − x + 2

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Solution

Let be the given polynomial.

Now, putting we get

Therefore, is a factor of polynomial f(x).

Now,

Hence are the factors of polynomial f(x).

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Similar questions

$(x + 1)$ is a factor of the polynomial
(a) $x^{3} - 2 x^{2} + x + 2$ (b) $x^{3} + 2 x^{2} + x - 2$
(c) $x^{3} + 2 x^{2} - x - 2$ (d) $x^{3} + 2 x^{2} - x + 2$

If dividend = $x^{4} + x^{3} - 2 x^{2} + x + 1$ , divisor = $x - 1$ and remainder = 2. Find the quotient q(x)

$If the dividend = x^{4} + x^{3} - 2 x^{2} + x + 1, divisor = x - 1 and remainder = 2, then find the quotient q(x) .$

Q. If dividend =

x^{4} + x^{3} - 2 x^{2} + x + 1

, divisor

= x - 1

and remainder

= 2

, then the quotient will be .

When $x^{4} + x^{3} - 2 x^{2} + x + 1$ is divided by x-1, the remainder is 2 and the quotient is q(x). Find q(x).

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x3 − 2x2 − x + 2

Let be the given polynomial. Now, putting we get Therefore, is a factor of polynomial f(x). Now, Hence are the factors of polynomial f(x).

x³ − 2x² − x + 2

Let be the given polynomial.

Now, putting we get

Therefore, is a factor of polynomial f(x).

Now,

Hence are the factors of polynomial f(x).