Question

Determine if x=-2 is a zero and find the quotiant and the remainder​

Answer 1

○ B. No, x = -2 is not a zero of the polynomial.

the quotient is x - 2, and the remainder is -221.

Explanation:

[x - 15][x + 15] >> Factored Form

Obviously, this is not a zero. Now, to get the remainder, we have to plug in the vertical line of x = -2 into its conjugate, meaning an expression with opposite signs, which is x + 2. This is the expression we divide the dividend by, so you will have this:

`\frac{ {x}^(2) - 25 }{x + 2}`

Since the divisor is in the form of x - c, using Synthetic Division, we get this:

`x - 2 - (221)/(x + 2)`

You see? You have x - 2 in the quotient, and you have -221 as the numerator remainder.

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