Question

Factor the expression.

negative x squared plus 3 x plus 40
A. negative left-parenthesis x plus 2 right-parenthesis left-parenthesis x minus 20 right-parenthesis
B. negative left-parenthesis x minus 5 right-parenthesis left-parenthesis x plus 8 right-parenthesis
C. left-parenthesis x minus 4 right-parenthesis left-parenthesis x minus 10 right-parenthesis
D. negative left-parenthesis x plus 5 right-parenthesis left-parenthesis x minus 8 right-parenthesis

Answer 1

-x^2 + 3x + 40

The 2 numbers in the parentheses must be 5 and 8 to get the 3x and 40 and there also must be a negative outside the parentheses

so its

- (x^2 - 3x - 40)

= -(x + 5)(x - 8) answer

Option D

Answer 2

D.Negative left parenthesis x plus 5 right- parenthesis left- parenthesis x-minus 8 right parenthesis.

Explanation:

We are given that an expression

`-x^2+3x+40`

We have to factorize the given expression.

The given expression can be write as

`-(x^2-3x-40)`

`-(x^2-8x+5x-40)`

Taking out common value

`-(x(x-8)+5(x-8))`

Now, taking common factor out

`-(x+5)(x-8)`

Hence, the expression in factorize form is given by

`-(x+5)(x-8)`

Option D is true.