Question

Factor quadratics with leading common Factor. g²+9g+8

Answer 1

To factor the quadratic expression g²+9g+8, find two numbers that multiply to 8 and add to 9, which are 1 and 8. The expression factors to (g + 1)(g + 8).

Step-by-step explanation:

The student is asking about factoring a quadratic expression with a leading common factor. The given quadratic expression is g²+9g+8. The goal is to factor this expression into the product of two binomials.

To factor the quadratic expression, we look for two numbers that multiply together to give the constant term (8) and add together to give the linear coefficient (9). These two numbers are 1 and 8. Thus, the factored form of the quadratic is:

(g + 1)(g + 8)

There are no common factors other than 1 in this case, so the expression is already fully factored.

Answer 2

To factor the quadratic g² + 9g + 8, we look for two numbers that multiply to give the constant term (8) and add up to give the coefficient of the middle term (9). The factored form of the quadratic is (g + 1)(g + 8).

Step-by-step explanation:

To factor the quadratic g² + 9g + 8, we look for two numbers that multiply to give the constant term (8) and add up to give the coefficient of the middle term (9). In this case, the numbers are 1 and 8. So, we can rewrite the quadratic as g² + 1g + 8g + 8.

Next, we group the terms and factor them separately:
(g² + 1g) + (8g + 8)
g(g + 1) + 8(g + 1)

Now, we have a common factor of (g + 1). Factoring it out, we get:
(g + 1)(g + 8)