Question

Rewrite the quadratic equation in factored form

Answer 1

(x - 7)(x + 8)

Explanation:

x² + x - 56
Multiples of 56 whose difference is 1: 7, 8
So, splitting the equation:
x² + 8x - 7x - 56
(x - 7)(x + 8)

Answer 2

The factored form of a quadratic expression is a way to rewrite the expression which shows the sums of products.

general form:
`y= a(x-r)(x-s)`

• in which the parenthesis, when solved for will give the roots/x-intercepts of the equation

when the a value is equal to zero:

• find two numbers that sum to the middle term and when multiplied give you the product of the third term

`y=x^2+x-56`

• find two numbers that are the sum of 1 and are the multiply to give you -56
• +8 and -7 create a sum of +1 and the product of -56

`y=(x+8)(x-7)`