Question

Find the missing factor. Does anybody know the answer 8b*2+7b-1= (b+1) ( )

Answer 1

Answer:

$8b^2+7b-1=(b+1)(8b-1)$

The missing factor is: $(8b-1)$

Step-by-step explanation:

Given expression:

$8b^2+7b-1=(b+1)(_-)$

To find the missing factor of the given expression.

Solution:

In order to factor the given term, we will split the middle term into two terms such that the product of the two terms is equal to the product of the first and last term of the expression.

The product of first and last term for the expression is = $(8b^2)(-1)=-8b^2$

The middle term = $7b$ which can be split into  $(8b-b)$ as their product = $-8b^2$

Thus, the expression can be rewritten as:

⇒ $8b^2+8b-b-1$

We will factor in pairs by taking GCF.

⇒ $8b(b+1)-1(b+1)$

Factoring the whole expression by taking the common factor.

⇒ $(b+1)(8b-1)$

Thus, the missing factor is: $(8b-1)$