Jimenez French
02/25/2024 · Senior High School
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor fover the real numbers. \( f(x)=x^{3}+2 x^{2}-9 x-18 \) A. \( -3,2,3 ; f(x)=(x+3)(x-2)(x-3) \) B. \( -3,-2,3 ; f(x)=(x+3)(x+2)(x-3) \) C. \( -2 ; f(x)=(x+2)\left(x^{2}+x-9\right) \) D. \( -3 ; f(x)=(x+3)\left(x^{2}-x-6\right) \)
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The real zeros are -3 and 3. The factored form is \( f(x) = (x + 3)(x - 2)(x - 3) \). Correct answer: A.
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