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Rational zeros: { − 2} 3. No. That would be like factoring 740 and discovering 3 isn't a factor but then checking if anything 740 breaks down into has a factor of 3. If the original problem doesn't have a factor of 3 then nothing it factors into will have a factor of 3.
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State the possible rational zeros for each function. Then factor each and find all zeros. 1) f ( x ) = 5 x 3 − 11 x 2 + 7 x − 1 2) f ( x ) = 3 x 3 + 11 x 2 + 5 x − 3
Examples, Notes, and Practice Tests (with Solutions) Topics include rational root, factoring, conjugates, graphing, synthetic division, long division, sum and product rules, and more.
2 Αυγ 2024 · Given a polynomial function f(x), use the Rational Zero Theorem to find rational zeros. Determine all factors of the constant term and all factors of the leading coefficient. Determine all possible values of p q, where p is a factor of the constant term and q is a factor of the leading coefficient.
EXAMPLE: Using the Rational Zero Theorem. List all possible rational zeros of . f (x) = 15x3 + 14x2 - 3x – 2. Solution. The constant term is –2 and the leading coefficient is 15. Possible rational zeros = Factors of the constant term, - 2 Factors of the leading coefficient, 15. = 1, 2. 1, 3, 5, 15. 1, = 2, Divide 1 and 2 by 1.
What you should learn. Use the Fundamental Theorem of Algebra to determine the number of zeros of polynomial functions. Find rational zeros of polyno-mial functions. Find conjugate pairs of com-plex zeros. Find zeros of polynomials by factoring.
