When x4-x3-2 x2-x-1 is divided by x-1- the remainder is 2 and the quotient is qx - Find qxA- x3-2 x2-x-1B- x3-x2-xC- x3-2 x2-1D- x3-x2-1

The correct option is C x^3 + 2x^2 + 1 Given: x^4 + x^3 2x^2 + x + 1 = (x – 1) q(x) + 2 q(x) =x^4 + x^3 2x^2 + x +1/(x – 1) So, q(x) = x^3+2x^2+1 ...

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Exponent of an Exponent

When x4+x3-2 ...

Question

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).

$x^{3} + 2 x^{2} + x + 1$

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$x^{3} + x^{2} + x$

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$x^{3} + 2 x^{2} + 1$

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$x^{3} + x^{2} + 1$

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Solution

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Similar questions

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

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

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

x - 1

2

q (x)

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

(x - 1)

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

= x - 1

= 2

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