Q1: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Second-degree, with zeros of −6 and 5 , and goes to −∞ as x→−∞. Q2: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −2, −1, and 3, and passes through the point (1,10). Q3: Find a 4th degree polynomial with the properties:f(−2)=0,f(6)=0, f(x)has a root multiplicity 2 at x=1, and f(0)=4 You may leave your answer in factored form, you do not have to multiply it out.
Q1: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Second-degree, with zeros of −6 and 5 , and goes to −∞ as x→−∞.
Q2: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of −2, −1, and 3, and passes through the point (1,10).
Q3: Find a 4th degree polynomial with the properties:f(−2)=0,f(6)=0, f(x)has a root multiplicity 2 at x=1, and f(0)=4 You may leave your answer in factored form, you do not have to multiply it out.
Q4: Find the equation of the 6th degree polynomial shown here. f(0) = -40 You may leave your answer in factored form, you do not have to multiply it out.
Q5: Construct a polynomial function with the following properties: third degree, 3 is a zero of multiplicity 2, −2 is the only other zero, leading coefficient is 3.
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