Question

2x² + x - 28 factories​

Answer 1

Answer:

(x+4) ( 2x-7)

Step-by-step explanation:

2x² + x - 28

To factorize always check the constant of the first and last terms. Here, it is 2x² and - 28. The constants are 2 and 28. So, we multiply them. 2 x 28 = 56.

Now, we list out the factors of 56.

Factors = 1, 2, 4, 7, 8, 14, 28 and 56. Now we should check by adding or subtracting which of these factors we get the result as the middle term constant i.e 1.

56+1 or 56-1 ≠ 1 { Repeat the same with the other factors }

8 +7  ≠ 1 , but 8-7 = 1, so we use 8 and 7.

2x² + x - 28

= 2x² + 8x - 7x - 28 {writing x as 8x - 7x}

= 2x( x+4) - 7 ( x+4)  {taking common and and when we take -7 as common the minus sign before 28 changes to plus.

=(x+4) ( 2x-7)

        Hope it is  helpful. Take care.