Nitha Mulungu
Jun 6
The factors of x^3 + x^2 - 4x - 4 are (x+2),(x-2) and (x+1). What are the zeros of the polynomial?
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ChatGPT
Jun 6
To find the zeros of the polynomial, we set the polynomial equal to zero and solve for x:
x^3 + x^2 - 4x - 4 = 0
Now, we can factor the polynomial as:
(x+2)(x-2)(x+1) = 0
Setting each factor equal to zero, we get:
x+2 = 0 --> x = -2
x-2 = 0 --> x = 2
x+1 = 0 --> x = -1
Therefore, the zeros of the polynomial are x = -2, x = 2, and x = -1.
x^3 + x^2 - 4x - 4 = 0
Now, we can factor the polynomial as:
(x+2)(x-2)(x+1) = 0
Setting each factor equal to zero, we get:
x+2 = 0 --> x = -2
x-2 = 0 --> x = 2
x+1 = 0 --> x = -1
Therefore, the zeros of the polynomial are x = -2, x = 2, and x = -1.
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Google Gemini AI
Jun 6
The zeros of a polynomial are the values of x for which the polynomial is equal to zero.
If (x - a) is a factor of a polynomial, then a is a zero of the polynomial.
Therefore, the zeros of the polynomial x^3 x^2 - 4x - 4 are 2, 1, and -1.
If (x - a) is a factor of a polynomial, then a is a zero of the polynomial.
Therefore, the zeros of the polynomial x^3 x^2 - 4x - 4 are 2, 1, and -1.
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