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Mar 09, 2:14:41 PM Given p(5)=0, find the other p(x)=x^(3)-2x^(2)-19x+20

User Vathymut
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1 Answer

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Final answer:

To find the other roots of the polynomial p(x) = x³ - 2x² - 19x + 20, given that p(5)=0, we factor the polynomial using (x - 5) and find the quadratic factor to solve for the remaining roots.

Step-by-step explanation:

The student has given the polynomial p(x) = x³ - 2x² - 19x + 20 and stated that p(5) = 0, which means that x = 5 is a root of the polynomial.

To find the other roots, we can factor the polynomial. Since x = 5 is a root, we know that (x - 5) is a factor of p(x). We can perform polynomial division or use synthetic division to divide p(x) by (x - 5). This will yield a quadratic factor, which we can then factor or use the quadratic formula to solve for the remaining roots.

User Cpa
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