Practice Give an expression for f(a) using only real-valued coefficients, having degree 4. passing through the point (6-
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- Practice Give An Expression For F A Using Only Real Valued Coefficients Having Degree 4 Passing Through The Point 6 1 (9.63 KiB) Viewed 26 times
- Practice Give An Expression For F A Using Only Real Valued Coefficients Having Degree 4 Passing Through The Point 6 2 (11.91 KiB) Viewed 26 times
- Practice Give An Expression For F A Using Only Real Valued Coefficients Having Degree 4 Passing Through The Point 6 3 (19.81 KiB) Viewed 26 times
- Practice Give An Expression For F A Using Only Real Valued Coefficients Having Degree 4 Passing Through The Point 6 4 (21.06 KiB) Viewed 26 times
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Give an expression for f(x) with leading coefficient 3, of degree 3, and having roots == 8,2 = 3 + 21, and a = 3 - 21. . Your final answer should not contain any i's. f()= is a polynomial of degree 3 with the given roots and leading coefficient.
Find all factors of the given polynomial. Do not approximate your solution! f(x) = ° +57 + 9x + 20 An integer root of f(x) is at # - The quotient of f(x) + (-root) is equal to: List all roots of f(a): List all factors of f(x): • Separate multiple factors with commas. .Write complex numbers using the imaginary unit i. For example, convert-3 to i. V3, etc.
Part 1 Identifying possible rational roots Part 2: Factoring out the known factor Now that we've Identified + Tas a factor of +222 +1063 + 7, we must determine what ? +227 + 1062 +7looks like once we've factored out +7. What is the quotient of (* +222 4 1062 + 7) + (2+7) New write z +227 + 1002 + 7 in factored for Part 3: Finding the remaining roots Let all roots of the given polynomial in exact form: Hint
Part 1: Identifying possible rational roots Part 2: Factoring out the known factor Now that we've Identified +3 as a factor of 2r-73-38 +3, we must determine what 2-7 -7z? - 382 +3 looks like once we've factored out + What is the quotient at (22_1722 -382 + 3) + (+3) Now write 22 -7° - 382 +3 in factored form: Part 3: Finding the remaining roots List all roots of the given polynomial inexact form Hint
Let's look at the behavior of na - m when it's a factor: a If we wanted to make a polynomial with a = as a root, that means we'd need 5x + 8 to be a factor 5 What is the result of multiplying out (5x + 8)(Ax? + Be + C)? . Your answers should contain capital "A", "B", and/or "C". • Do not use lower case "a", "b" and/or "c". • The 2*,**, and are provided for you already. You should not include them in your answer. z? + + 2+ Part 2: Expanded Polynomials Part 3: Finding Possible Roots