MyQuestionIcon

1

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

Factorisation by Regrouping Terms

3x3+2x2+3x+2=...

Question

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

(a) $(3 x - 2) (x^{2} - 1)$

(b) $(3 x - 2) (x^{2} + 1)$

(c) $(3 x + 2) (x^{2} - 1)$

(d) $(3 x + 2) (x^{2} + 1)$

Open in App

Solution

$3 x^{3} + 2 x^{2} + 3 x + 2 = 3 x^{3} + 3 x + 2 x^{2} + 2 = 3 x (x^{2} + 1) + 2 (x^{2} + 1) = (3 x + 2) (x^{2} + 1)$

Suggest Corrections

thumbs-up

16

Similar questions

Q. (3x+2) is a factor of

3 x^{3} + 2 x^{2} - 3 x - 2.

Hence, factories the expression

3 x^{3} + 2 x^{2} - 3 x - 2.

Q. Let p, q be the roots of the equation

x^{2} - 3 x + 2 = 0.

The quadratic equation having roots

\frac{1}{p}

\frac{1}{q}

Q. The third derivative of a function f(x) vanishes for all x. If f(0)=1, f'1(1)=2 and f”(1) = – 1, then f(x) is equal to

Q. The equation whose roots are negative of the roots of the equation

- 2 x^{2} + 3 x - 4 = 0

{(2 x^{2} + 3 x + 5)}^{1 / 2} + {(2 x^{2} + 3 x + 20)}^{1 / 2} = 15

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 Regrouping Terms

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon