The Rational Roots Theorem Answers
In completely factored form, f(x) = .
Check all of the numbers that are potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9.
of the polynomial.
Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
Check all of the numbers that are potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9.
f(x) = 4x4 – 8x3 – 3x2 +7x – 2 = (x + 1)(4x3 – 12x2 +9x – 2)Look at the graph. Which of the following potential roots should you test next?
of the polynomial.
Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
1 2
If x = 1 2 , then x − 1 2 = 0. This is the same as = 0.
Use the synthetic division shown to help factor the polynomial and solve the equation. What are the solutions of the equation?
Values of q are factors of .
Complete the statement with the choice that best describes the relationship between the polynomial and its rational zeroes.A polynomial, P, has a leading coefficient of 1 and a constant term. The rational roots of P are all .
If x = 1 2 , then x − 1 2 = 0. This is the same as = 0.
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