Which of the following is equivalent to the expression 3x^(2)+21 x+18 ? Choose 1 answer: (A) 3(x+1)(x+6) (B) 3(x+2)(x+3) (c) 3(x+2)(x+9) (D) 3(x+3)(x+4)

Factor out the GCF: Factor out the greatest common factor (GCF) from the expression 3x^2 + 21x + 18. The GCF is 3. 3(x^2 + 7x + 6)Factor the quadratic expression: Factor the quadratic expression inside the parentheses. We are looking for two numbers that multiply to 6 (the constant term) and add up to 7 (the coefficient of the x term). The numbers that satisfy these conditions are 1 and 6. So, we can factor the quadratic as follows: 3(x + 1)(x + 6)Match the factored expression: Match the factored expression with the given choices. The factored expression 3(x + 1)(x + 6) corresponds to choice (A).

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Which of the following is equivalent to the expression
3x^(2)+21 x+18 ?
Choose 1 answer:
(A)
3(x+1)(x+6)
(B)
3(x+2)(x+3)
(c)
3(x+2)(x+9)
(D)
3(x+3)(x+4)

Which of the following is equivalent to the expression $3 x^{2}+21 x+18$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $3(x+1)(x+6)$ $\newline$ (B) $3(x+2)(x+3)$ $\newline$ (C) $3(x+2)(x+9)$ $\newline$ (D) $3(x+3)(x+4)$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which of the following is equivalent to the expression

3 x^{2}+21 x+18

\newline

Choose

1

answer:

\newline

(A)

3(x+1)(x+6)

\newline

(B)

3(x+2)(x+3)

\newline

(C)

3(x+2)(x+9)

\newline

(D)

3(x+3)(x+4)

Factor out the GCF: Factor out the greatest common factor (GCF) from the expression $3x^2 + 21x + 18$ . $\newline$ The GCF is $3$ . $\newline$ $3(x^2 + 7x + 6)$
Factor the quadratic expression: Factor the quadratic expression inside the parentheses. $\newline$ We are looking for two numbers that multiply to $6$ (the constant term) and add up to $7$ (the coefficient of the $x$ term). $\newline$ The numbers that satisfy these conditions are $1$ and $6$ . $\newline$ So, we can factor the quadratic as follows: $\newline$ $3(x + 1)(x + 6)$
Match the factored expression: Match the factored expression with the given choices. $\newline$ The factored expression $3(x + 1)(x + 6)$ corresponds to choice (A).