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Answer :
The x-intercepts of the polynomial g(x) = 20x* - 45x² are x = 0 and x = 20*/45.
To find the x-intercepts of a polynomial, we set the polynomial equal to zero and solve for x. In this case, we set g(x) = 20x* - 45x² equal to zero:
20x* - 45x² = 0
Next, we factor out the common factor of x:
x(20* - 45x) = 0
Now, we set each factor equal to zero and solve for x:
x = 0
20* - 45x = 0
45x = 20*
x = 20*/45
So the x-intercepts of the polynomial g(x) = 20x* - 45x² are x = 0 and x = 20*/45.
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