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Calculate the coordinates of the x-intercepts of g(x) = -x3 - x2 + 5x - 3 if (x+1) is a factor of g(x).

Mathematics

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Let's solve Question 8 based on the provided function g(x)=−x3−x2+5x−3g(x) = -x^3 - x^2 + 5x - 3.

8.1 Calculate the coordinates of the x-intercepts of gg if (x+1)(x+1) is a factor of g(x)g(x).

Step 1: Verify if (x+1)(x+1) is a factor of g(x)g(x).
For (x+1)(x+1) to be a factor, g(−1)g(-1) must be equal to 0.

g(−1)=−(−1)3−(−1)2+5(−1)−3g(-1) = -(-1)^3 - (-1)^2 + 5(-1) - 3
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