Question

Factor the quadratic expression completely. -7x^(2)-24x-9

Answer 1

The quadratic expression -7x^2-24x-9 can be factored completely as (-7x-9)(x+1).

Step-by-step explanation:

The quadratic expression -7x^2-24x-9 can be factored completely as (-7x-9)(x+1).

To factor the expression, look for two numbers whose product is -63 (-7 times -9) and whose sum is -24. Those numbers are -7 and -9.

You can then split the middle term -24x into -7x and -9x, and factor by grouping:

-7x^2 - 7x - 9x - 9

= -7x(x + 1) - 9(x + 1)

= (-7x - 9)(x + 1)

Answer 2

The factored form of the quadratic expression is
`(-7x + 3)(x + 3).`

Step-by-step explanation:

To factor the quadratic expression
`-7x2-24x-9` we need to find two binomial factors. The first step is to multiply the coefficient of the x2 term (-7) with the constant term (-9).

The result is 63.

Next, we need to find two numbers that multiply to give 63 and add up to the coefficient of the x term (-24).

The numbers that satisfy this condition are -27 and 3.

So, the factored form of the quadratic expression is
`(-7x + 3)(x + 3).`