The polynomial function p(x) = 5x³ - 5x² - 10x have zeros of 0, -1 and 2
The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph. We will also see that they are directly related to the factors of the polynomial.
The polynomial function given is
p(x) = 5x³ - 5x² - 10x
The zeros of the function are 0, 2, -1
To test the zeros if they are the roots of the polynomial
p(0) = 5(0)³ - 5(0)² - 10(0)
p(0) = 0
p(2) = 5(2)³ - 5(2)² - 10(2)
p(2) = 0
p(-1) = 5(-1)³ - 5(-1)² - 10(-1)
p(-1) = 0
The zeros are 0, -1, and 2 to the polynomial
Learn more on zeros of a polynomial here;
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