Question

What is B^2+8b+7??

Can someone explain it step by step please?

Answer 1

B^2+8b+7 is a quadratic expression.

To solve it, you can use the quadratic formula, which is:

x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 1, b = 8, and c = 7.

So, substituting the values, we get:

x = (-8 ± √(8^2 - 4(1)(7))) / 2(1)

x = (-8 ± √(64 - 28)) / 2

x = (-8 ± √36) / 2

x = (-8 ± 6) / 2

x = -1 or -7

Therefore, B^2+8b+7 is equal to -1 or -7.

Answer 2

Explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).