CameraIcon

SearchIcon

MyQuestionIcon

Long Division Method to Divide Two Polynomials

Use synthetic...

Question

Use synthetic division to find the quotient Q and Remainder R when dividing
$7 x^{5} - 2 x^{4} - 5 x^{3} + x^{2} - 3 x + 5$ by $x - 2$

Open in App

Solution

$\Rightarrow Q = 7 x^{4} + 12 x^{3} + 19 x^{2} + 39 x + 75$
$\Rightarrow R = 155.$
Hence, solved.

Suggest Corrections

thumbs-up

1

mid-banner-image

mid-banner-image

Similar questions

Q. Use synthetic division to find the quotient Q and Remainder R when dividing

\frac{1}{2} x^{3} - \frac{1}{3} x^{2} - \frac{3}{2} x + \frac{1}{3}

x - \frac{1}{2}

Q. Use synthetic division to find the quotient Q and remainder R when dividing

f (x) = x^{2} + 2 x + 3

x - i

i = \sqrt{(} - 1)

the imaginary unit)

Q. Find the quotient and remainder using synthetic division.

(x^{3} - x^{2} - 3 x + 5) \div (x - 1)

Q. Find the quotient and remainder using synthetic division.

(3 x^{3} - 2 x^{2} + 7 x - 5) \div (x + 3)

Q. A polynomial p(x) is divided by (2x - 1). The quotient and remainder obtained are

(7 x^{2} + x + 5)

and 4 respectively. Find p(x).
OR
Find the quotient and remainder using synthetic division.

(3 x^{3} - 2 x^{2} + 7 x - 5) \div (x + 3)

View More

similar_icon

Related Videos

lock

Remainder Theorem

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Long Division Method to Divide Two Polynomials

Standard IX Mathematics