Write a linear factorization of the function. f (x) = x4 + 64x2

f (x) = x2 (8x + i) (8x - i)

f (x) = x2 (x + 8i) 2

f (x) = x2 (x + 8i) (x - 8i)

f (x) = x2 (8x + i) 2

Question

Kassandra Hayden

Mathematics

8 July, 02:43

Write a linear factorization of the function. f (x) = x4 + 64x2

f (x) = x2 (8x + i) (8x - i)

f (x) = x2 (x + 8i) 2

f (x) = x2 (x + 8i) (x - 8i)

f (x) = x2 (8x + i) 2

+2

Answers (1)

Know the Answer?

Gia Dalton · Answer 1

We were given;

f (x) = x⁴ + 64x²

x² is common to both terms so we factor it.

" f (x) = x² (x² + 64)

Now x² + 64 has complex factors of (x+8i) (x-8i)

" f (x) = x² (x+8i) (x-8i)

Write a linear factorization of the function. f (x) = x4 + 64x2f (x) = x2 (8x + i) (8x - i)f (x) = x2 (x + 8i) 2f (x) = x2 (x + 8i) (x - 8i)f (x) = x2 (8x + i) 2

Write a linear factorization of the function. f (x) = x4 + 64x2

f (x) = x2 (8x + i) (8x - i)

f (x) = x2 (x + 8i) 2

f (x) = x2 (x + 8i) (x - 8i)

f (x) = x2 (8x + i) 2