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

Will factored 7x6 7 x^{6} as (3x2)(4x4) \left(3 x^{2}\right)\left(4 x^{4}\right) .\newlineOlivia factored 7x6 7 x^{6} as (7x2)(x3) \left(7 x^{2}\right)\left(x^{3}\right) .\newlineWhich of them factored 7x6 7 x^{6} correctly?\newlineChoose 11 answer:\newline(A) Only Will\newline(B) Only Olivia\newline(C) Both Will and Olivia\newline(D) Neither Will nor Olivia

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Full solution

Q. Will factored 7x6 7 x^{6} as (3x2)(4x4) \left(3 x^{2}\right)\left(4 x^{4}\right) .\newlineOlivia factored 7x6 7 x^{6} as (7x2)(x3) \left(7 x^{2}\right)\left(x^{3}\right) .\newlineWhich of them factored 7x6 7 x^{6} correctly?\newlineChoose 11 answer:\newline(A) Only Will\newline(B) Only Olivia\newline(C) Both Will and Olivia\newline(D) Neither Will nor Olivia
  1. Analyze Will's factorization: Analyze Will's factorization.\newlineWill factored 7x67x^{6} as (3x2)(4x4)(3x^{2})(4x^{4}). To check if this is correct, we multiply the factors together.\newline(3x2)(4x4)=12x2+4=12x6(3x^{2})(4x^{4}) = 12x^{2+4} = 12x^{6}.\newlineThis is not equal to 7x67x^{6} because the coefficient is 1212 instead of 77.

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