If a is a root of P(x)=0, then (x-a) is a factor of P(x).
P(x)=x^3-18/5x^2 + 19/5x -6/5
Practice makes perfect
We want to write a polynomial function with rationalcoefficients so that P(x)=0 has the given roots.
1, 2, and 35Recall that if a is a root of P(x)=0, then (x-a) is a factor of P(x).
Let's simplify the polynomial by applying the Distributive Property.
(x-1) * (x-2) * (x- 35)
For simplicity, we will start by multiplying the first two factors and then the last factor to the product of the first two.
