7.6 Rational Zero Theorem Algebra II w/ trig. RATIONAL ZERO THEOREM: If a polynomial has integer coefficients, then the possible rational zeros must be.

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Presentation transcript:

7.6 Rational Zero Theorem Algebra II w/ trig

RATIONAL ZERO THEOREM: If a polynomial has integer coefficients, then the possible rational zeros must be a factor of the constant term divided by a factor of the leading coefficient. ▫For ▫Constant term: number hanging off the end ▫Leading coefficient: a n Remember roots and zeros are the solutions to the equation f(x)=0

I.List all of the possible rational zeros of each function. A.

B. C.

II. Find all zeros. A.

B.

C. f(x) = 8x 4 + 2x 3 + 5x 2 + 2x - 3

D. g(x) = x 4 + 2x 3 – 11x

E. f(x)= x 5 – 6x 3 + 8x