What will be the quotient if $x^{4} + 4 x^{3} + 3 x^{2} - 4 x - 4$ is divided by $(x - 1)$ ?

5 x^{2} + 8 x + 4

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x^{3} + 5 x^{2} + 8 x - 8

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x^{3} + 5 x^{2} + 8

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x^{3} + 5 x^{2} + 8 x + 4

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Solution

The correct option is D $x^{3} + 5 x^{2} + 8 x + 4$
Using Horner’s method of Synthetic Division -

$x \to x^{3} + 5 x^{2} + 8 x + 4 \to$ Quotient.
So, the correct option is (a)

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Similar questions

Q. Find the quotient and remainder when:

f (x) = x^{4} - 3 x^{2} + 4 x + 5

is divided by

g (x) = x^{2} + 1 - x

Question 1 (ii)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:
$p (x) = x^{4} - 3 x^{2} + 4 x + 5, g (x) = x^{2} + 1 - x$

Q. What will be the Quotient when

4 x^{3} - 8 x^{2} - x + 5

is divided by

2 x - 1

Q. the remainder when x4-3x2+4x+5 is divided by x2-x+1

Find the reminder when 4x³ - 3x² + 4x - 2 is divided by x + 2

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What will be the quotient if x4+4x3+3x2−4x−4 is divided by (x–1)?

The correct option is D x3+5x2+8x+4Using Horner’s method of Synthetic Division - x→x3+5x2+8x+4→ Quotient. So, the correct option is (a)

What will be the quotient if $x^{4} + 4 x^{3} + 3 x^{2} - 4 x - 4$ is divided by $(x - 1)$ ?

The correct option is D $x^{3} + 5 x^{2} + 8 x + 4$
Using Horner’s method of Synthetic Division -

$x \to x^{3} + 5 x^{2} + 8 x + 4 \to$ Quotient.
So, the correct option is (a)