Question

Determine if x-6 is a zero and find the quotiant and the remainder​

Answer 1

○ 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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