High School

Which of the following is equivalent to the given expression?

Choose 1 answer:

A. [tex]x^2 + 2x - 35[/tex]

B. [tex]x^2 + 2x + 2[/tex]

C. [tex]x^2 - 35[/tex]

D. [tex]2x^2 - 12x - 35[/tex]

Answer :

To determine which expression is equivalent to the given expression [tex]\( x^2 + 2x - 35 \)[/tex], let's take a closer look at each of the options provided:

Given expression: [tex]\( x^2 + 2x - 35 \)[/tex]

We need to compare this with each of the provided options:

(A) [tex]\( x^2 + 2x - 35 \)[/tex]

- This option is identical to the given expression.

(B) [tex]\( x^2 + 2x + 2 \)[/tex]

- This expression is similar to the given one but has a different constant term (+2 instead of -35). Therefore, it is not equivalent.

(C) [tex]\( x^2 - 35 \)[/tex]

- This expression lacks the [tex]\(2x\)[/tex] term and therefore cannot be equivalent.

(D) [tex]\( 2x^2 - 12x - 35 \)[/tex]

- This expression has different coefficients for the [tex]\(x^2\)[/tex] and [tex]\(x\)[/tex] terms, which means it's not the same as the given expression.

After comparing all of the options, it's clear that option (A) [tex]\(x^2 + 2x - 35\)[/tex] is the one that matches the given expression exactly.

So, the correct choice is option (A): [tex]\(x^2 + 2x - 35\)[/tex].