Question

Select one of the factors of 4x2 + 5x − 6 a. (x-3) b. (4x-3) c. (4x+2) d. (x+6)

Answer 1

`4x^(2)+5x-6=4x^(2)+8x-3x-6=4x(x+2)-3(x+2)= \\ \\ (4x-3)(x+2)`

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Answer 2

b ) One factor ( 4x - 3).

Explanation:

Given : 4x² + 5x − 6.

To find : Find factors.

Solution : We have given

4x² + 5x − 6.

On factoring

4x² + 8x - 3x − 6.

Taking common 4x from first two term and -3 from last two terms.

4x ( x + 2) - 3 ( x + 2)

On grouping

( 4x -3) ( x + 2).

Factors ( 4x -3) ( x + 2).

Therefore, b ) One factor ( 4x - 3).