What are the zeros of the polynomial function 𝐹(𝑥)=𝑥2−5𝑥−6F(x)=x 2 −5x−6?A.x = -1 and x = 6B.x = 2 and x = 3C.x = -3 and x = -2D.x = -6 and x = 1SUBMITarrow_backPREVIOUS
Question
What are the zeros of the polynomial function 𝐹(𝑥)=𝑥2−5𝑥−6F(x)=x 2 −5x−6?A.x = -1 and x = 6B.x = 2 and x = 3C.x = -3 and x = -2D.x = -6 and x = 1SUBMITarrow_backPREVIOUS
Solution
To find the zeros of the polynomial function F(x)=x^2−5x−6, we need to set the function equal to zero and solve for x.
x^2 - 5x - 6 = 0
This is a quadratic equation and can be factored into:
(x - 6)(x + 1) = 0
Setting each factor equal to zero gives the solutions:
x - 6 = 0 => x = 6
x + 1 = 0 => x = -1
So, the zeros of the function are x = -1 and x = 6. Therefore, the correct answer is A. x = -1 and x = 6.
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