Type the correct answer in each box. Use numerals instead of words.

Consider this expression:
[tex]\[ -4x^2 + 2x - 5(1 + x) \][/tex]

What expression is equivalent to the given expression?

[tex]\[ \qquad \_ x^2 + \qquad \_ x + \qquad \_ \][/tex]



Answer :

To simplify the given expression:
[tex]\[ -4x^2 + 2x - 5(1 + x) \][/tex]

First, distribute [tex]\(-5\)[/tex] to both terms inside the parenthesis:
[tex]\[ -5(1 + x) = -5 - 5x \][/tex]

Now substitute back into the expression:
[tex]\[ -4x^2 + 2x - 5 - 5x \][/tex]

Combine like terms:
[tex]\[ -4x^2 + (2x - 5x) - 5 = -4x^2 - 3x - 5 \][/tex]

So, the equivalent expression is:
[tex]\[ -4x^2 - 3x - 5 \][/tex]

In the format requested:
[tex]\[ -4 \quad -3 \quad -5 \][/tex]