Answer:
○ A. No, x = -6 is not a zero of the polynomial.
The quotient is x - 29, and the remainder is 234.
Explanation:
[x - 3][x - 20] >> Factored Form
Obviously, this is not a zero. Now, to get the remainder, we have to plug in the vertical line of x = -6 into its conjugate, meaning an expression with opposite signs, which is x + 6. This is the expression we divide the dividend by, so you will have this:
\frac{{x}^{2} - 23x - 60}{x + 6}
Since the divisor is in the form of x - c, using Synthetic Division, we get this:
x - 29 + \frac{234}{x + 6}
You see? You have x - 29 in the quotient, and you have 234 as the numerator remainder.
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