CameraIcon

SearchIcon

MyQuestionIcon

497

You visited us 497 times! Enjoying our articles? Unlock Full Access!

Trinomials of the Form ax² ± bx ± c

Resolve the f...

Question

Resolve the following quadratic trinomial into factors:
$3 + 23 y - 8 y^{2}$

Open in App

Solution

Given: $3 + 23 y - 8 y^{2}$
$= - 8 y^{2} + 23 y + 3$
On splitting the middle term , we get
$= - 8 y^{2} + 24 y - y + 3$
$= - 8 y (y - 3) - 1 (y - 3)$
$= (- 8 y - 1) (y - 3)$
$= - (8 y + 1) (y - 3)$
$= (8 y + 1) (- y + 3)$
$= (8 y + 1) (3 - y)$

Hence, $3 + 23 y - 8 y^{2} = (8 y + 1) (3 - y)$

Suggest Corrections

thumbs-up

1

Similar questions

Q. Resolve each of the following quadratic trinomial into factor:
3 + 23y − 8y²

Q. Resolve the following quadratic trinomial into factors:

3 x^{2} + 10 x + 3

Q. Resolve the following quadratic trinomial into factors :

12 x^{2} - 17 x y + 6 y^{2}

Q. Resolve the following quadratic trinomial into factors:

2 x^{2} + 5 x + 3

Q. Resolve the following quadratic trinomial into factors :

6 x^{2} - 5 x y - 6 y^{2}

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Trinomials of the Form ax² ± bx ± c

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon