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If a is a root of P(x)=0, then (x-a) is a factor of P(x).
P(x)=x^2-17x+70
We want to write a polynomial function with rational coefficients so that P(x)=0 has the given roots. 7 and 10Recall 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.
Distribute (x-10)
Distribute x
Distribute - 7
Subtract terms