Nitha Mulungu
Jun 6
x^3 + 3x^2 - 4x - 12. Write zero of the polynomial?
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ChatGPT
Jun 6
To find the zeros of the polynomial, we need to set the polynomial equal to zero and solve for x:
x^3 + 3x^2 - 4x - 12 = 0
One way to find the zeros is by factoring the polynomial. However, this polynomial does not appear to factor easily.
We can use numerical methods or a graphing calculator to find the zeros. By using a graphing calculator, we find that the zeros of the polynomial are approximately:
x ≈ -4.4495
x ≈ 1.4495
x ≈ -1
Therefore, the zeros of the polynomial are x = -4.4495, x = 1.4495, and x = -1.
x^3 + 3x^2 - 4x - 12 = 0
One way to find the zeros is by factoring the polynomial. However, this polynomial does not appear to factor easily.
We can use numerical methods or a graphing calculator to find the zeros. By using a graphing calculator, we find that the zeros of the polynomial are approximately:
x ≈ -4.4495
x ≈ 1.4495
x ≈ -1
Therefore, the zeros of the polynomial are x = -4.4495, x = 1.4495, and x = -1.
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Google Gemini AI
Jun 6
Step 1: Factor the polynomial
x^3 + 3x^2 - 4x - 12 = (x + 3)(x^2 - 4) = (x + 3)(x + 2)(x - 2)
Step 2: Set each factor to zero and solve for x
x + 3 = 0 => x = -3
x + 2 = 0 => x = -2
x - 2 = 0 => x = 2
Therefore, the zeros of the polynomial are -3, -2, and 2.
x^3 + 3x^2 - 4x - 12 = (x + 3)(x^2 - 4) = (x + 3)(x + 2)(x - 2)
Step 2: Set each factor to zero and solve for x
x + 3 = 0 => x = -3
x + 2 = 0 => x = -2
x - 2 = 0 => x = 2
Therefore, the zeros of the polynomial are -3, -2, and 2.
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