CameraIcon

SearchIcon

MyQuestionIcon

1

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

Factors of Algebraic Expressions and Factorisation

Resolve the f...

Question

Resolve the following quadratic trinomial into factors:

$2 x^{2} - 3 x - 2$

Open in App

Solution

Given : $2 x^{2} - 3 x - 2$
On splitting the middle term, we get
$2 x^{2} - 4 x + x - 2$
$= 2 x (x - 2) + 1 (x - 2)$
$= (x - 2) (2 x + 1)$

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

Suggest Corrections

thumbs-up

0

Similar questions

Q. Resolve each of the following quadratic trinomial into factor:
2x² − 3x − 2

Q. Resolve each of the following quadratic trinomial into factor:
2x² + 5x + 3

Q. Resolve the following quadratic trinomial into factors:

2 x^{2} + 5 x + 3

Q. Resolve the following quadratic trinomial into factors:

7 x - 6 x^{2} + 20

Q. Resolve the following quadratic trinomial into factors:

3 + 23 y - 8 y^{2}

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Factors of Algebraic Expressions and Factorisation

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon