CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factorisation by Common Factors

For polynomia...

Question

For polynomial $P (x) = 6 x^{3} + 29 x^{2} + 44 x + 21$ ,find P(-2).

Open in App

Solution

Given : $P (x) = 6 x^{3} + 29 x^{2} + 44 x + 21$
Now, $P (- 2) = 6 (- 2)^{3} + 29 (- 2)^{2} + 44 (- 2) + 21$
$= 6 (- 8) + 29 (4) - 88 + 21$
$= - 48 + 116 - 88 + 21$
$= 1$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The product of two polynomials is

6 x^{3} + 29 x^{2} + 44 x + 21

and one of the polynomials is

3 x + 7

. Find the other polynomial.

Q. Prove that (3x + 7) is a factor of

(6 x^{3} + 29 x^{2} + 44 x + 21)

Q. Verify the division algorithm for the polynomials

p (x) = 2 x^{4} - 6 x^{3} + 2 x^{2} - x + 2 and g (x) = x + 2

Q. (a) Check whether

(x - 1)

is a factor of the polynomial

p (x) = 6 x^{3} + 3 x^{2}

(b) What first degree polynomial added to

p (x)

gives a polynomial for which

(x^{2} - 1)

x = \frac{4}{3}

is a zeroes of the polynomial

p (x) = 6 x^{3} - 11 x^{2} + k x - 20

, find the value of

k .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Method of Common Factors

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Factorisation by Common Factors

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon