(x^(2)+3x-6)+(x+11) Which of the following is equivalent to the given expression? Choose 1 answer: (A) x^(2)+4x+5 (B) x^(2)+4x+17 (C) 2x^(2)+3x+5 (D) 2x^(2)+3x+17

Identify like terms: We need to combine like terms in the expression (x^(2)+3x-6)+(x+11). First, we identify the like terms: x^(2) is a quadratic term, 3x and x are linear terms, and -6 and 11 are constant terms.Combine linear terms: Combine the linear terms: 3x + x = 4x.Combine constant terms: Combine the constant terms: -6 + 11 = 5.Rewrite expression with combined terms: Now, we rewrite the expression with the combined like terms: x^(2) + 4x + 5.Check answer choices: We check the answer choices to see which one matches our combined expression. (A) x^(2)+4x+5 is the expression we obtained after combining like terms.

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(x^(2)+3x-6)+(x+11)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
x^(2)+4x+5
(B)
x^(2)+4x+17
(C)
2x^(2)+3x+5
(D)
2x^(2)+3x+17

$\left(x^{2}+3 x-6\right)+(x+11)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $x^{2}+4 x+5$ $\newline$ (B) $x^{2}+4 x+17$ $\newline$ (C) $2 x^{2}+3 x+5$ $\newline$ (D) $2 x^{2}+3 x+17$

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Full solution

\left(x^{2}+3 x-6\right)+(x+11)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

x^{2}+4 x+5

\newline

(B)

x^{2}+4 x+17

\newline

(C)

2 x^{2}+3 x+5

\newline

(D)

2 x^{2}+3 x+17

Identify like terms: We need to combine like terms in the expression $(x^{2}+3x-6)+(x+11)$ . $\newline$ First, we identify the like terms: $x^{2}$ is a quadratic term, $3x$ and $x$ are linear terms, and $-6$ and $11$ are constant terms.
Combine linear terms: Combine the linear terms: $3x + x = 4x$ .
Combine constant terms: Combine the constant terms: $-6 + 11 = 5$ .
Rewrite expression with combined terms: Now, we rewrite the expression with the combined like terms: $x^{2} + 4x + 5$ .
Check answer choices: We check the answer choices to see which one matches our combined expression. $\newline$ (A) $x^{2}+4x+5$ is the expression we obtained after combining like terms.