Skill Practice 5 Given f ( x ) = x 4 − 2 x 3 + 28 x 2 − 4 x + 52 , and that 1 + i is a zero of f ( x ) . a. Find the zeros. b . Factor f ( x ) as a product of linear factors. c. Solve the equation. x 4 − 2 x 3 + 28 x 2 − 4 x + 52 = 0
Skill Practice 5 Given f ( x ) = x 4 − 2 x 3 + 28 x 2 − 4 x + 52 , and that 1 + i is a zero of f ( x ) . a. Find the zeros. b . Factor f ( x ) as a product of linear factors. c. Solve the equation. x 4 − 2 x 3 + 28 x 2 − 4 x + 52 = 0
Solution Summary: The author calculates the zeroes of the polynomial f(x) = 1+5i, isqrt2and
14. Multiply. Write the answer in standard form.
(7+5i)(8 – 6i) =
15. Find the zeroes of the function.
g(x) = 7x² + 21
%3D
ACT 2.
Factor the function and state the all roots (real and imaginary, if applicable).
Place your answers at the bottom.
2.
f(x) = 8x* – 26x³ + 11x² + 7x – 3
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