Question
Factor the following trinomial \[ x^{2}-4 x-32 \] Select the correct choce below and, il necessary, fill in the answer box to complete your choice. A. \( x^{2}-4 x-32= \) (Type your answer in factored form.) B. The polynomial is prime.
Ask by Davey Flynn. in the United States
Mar 11,2025
Upstudy AI Solution
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Answer
The trinomial \( x^{2}-4x-32 \) factors to \( (x+4)(x-8) \).
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Bonus Knowledge
To factor the trinomial \( x^{2}-4x-32 \), we need to find two numbers that multiply to -32 (the constant term) and add to -4 (the coefficient of x). The numbers that fit this requirement are -8 and +4. Therefore, we can factor the trinomial as: \[ x^{2}-4x-32 = (x-8)(x+4) \] So, the correct choice is A: \[ x^{2}-4 x-32 = (x-8)(x+4) \]