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].
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].
