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

Respuesta :

-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:

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

Step-by-step explanation:

We are given that an expression

[tex]-x^2+3x+40[/tex]

We have to factorize the given expression.

The given expression can be write as

[tex]-(x^2-3x-40)[/tex]

[tex]-(x^2-8x+5x-40)[/tex]

Taking out common value

[tex]-(x(x-8)+5(x-8))[/tex]

Now, taking common factor out

[tex]-(x+5)(x-8)[/tex]

Hence, the expression in factorize form is given by

[tex]-(x+5)(x-8)[/tex]

Option D is true.