Ibuki factored 12x^(7) as (4x^(3))(3x^(4)). Melodie factored 12x^(7) as (2x^(6))(6x). Which of them factored 12x^(7) correctly? Choose 1 answer: (A) Only Ibuki (B) Only Melodie (C) Both Ibuki and Melodie (D) Neither Ibuki nor Melodie

Analyze Ibuki's factorization: Analyze Ibuki's factorization of 12x^(7). Ibuki factored 12x^(7) as (4x^(3))(3x^(4)). To check if this is correct, multiply the factors together. (4x^(3))(3x^(4)) = 4 * 3 * x^(3+4) = 12x^(7) This matches the original expression.Analyze Melodie's factorization: Analyze Melodie's factorization of 12x^(7). Melodie factored 12x^(7) as (2x^(6))(6x). To check if this is correct, multiply the factors together. (2x^(6))(6x) = 2 * 6 * x^(6+1) = 12x^(7) This also matches the original expression.Determine correct factorization: Determine which of them factored 12x^(7) correctly. Since both Ibuki's and Melodie's factorizations result in the original expression 12x^(7) when multiplied, both are correct.

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Ibuki factored
12x^(7) as
(4x^(3))(3x^(4)).
Melodie factored
12x^(7) as
(2x^(6))(6x).
Which of them factored
12x^(7) correctly?
Choose 1 answer:
(A) Only Ibuki
(B) Only Melodie
(C) Both Ibuki and Melodie
(D) Neither Ibuki nor Melodie

Ibuki factored $12 x^{7}$ as $\left(4 x^{3}\right)\left(3 x^{4}\right)$ . $\newline$ Melodie factored $12 x^{7}$ as $\left(2 x^{6}\right)(6 x)$ . $\newline$ Which of them factored $12 x^{7}$ correctly? $\newline$ Choose $1$ answer: $\newline$ (A) Only Ibuki $\newline$ (B) Only Melodie $\newline$ (C) Both Ibuki and Melodie $\newline$ (D) Neither Ibuki nor Melodie

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Math Problems

Grade 7

Write variable expressions: word problems

Full solution

Q. Ibuki factored

12 x^{7}

\left(4 x^{3}\right)\left(3 x^{4}\right)

\newline

Melodie factored

12 x^{7}

\left(2 x^{6}\right)(6 x)

\newline

Which of them factored

12 x^{7}

correctly?

\newline

Choose

1

answer:

\newline

(A) Only Ibuki

\newline

(B) Only Melodie

\newline

\newline

(D) Neither Ibuki nor Melodie

Analyze Ibuki's factorization: Analyze Ibuki's factorization of $12x^{7}$ . $\newline$ Ibuki factored $12x^{7}$ as $(4x^{3})(3x^{4})$ . $\newline$ To check if this is correct, multiply the factors together. $\newline$ $(4x^{3})(3x^{4}) = 4 \times 3 \times x^{3+4} = 12x^{7}$ $\newline$ This matches the original expression.
Analyze Melodie's factorization: Analyze Melodie's factorization of $12x^{7}$ . $\newline$ Melodie factored $12x^{7}$ as $(2x^{6})(6x)$ . $\newline$ To check if this is correct, multiply the factors together. $\newline$ $(2x^{6})(6x) = 2 \times 6 \times x^{6+1} = 12x^{7}$ $\newline$ This also matches the original expression.
Determine correct factorization: Determine which of them factored $12x^{7}$ correctly. $\newline$ Since both Ibuki's and Melodie's factorizations result in the original expression $12x^{7}$ when multiplied, both are correct.