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how many roots, real or complex, does the polynomial $7 + 5x^4 - 3x^2$ …

Question

how many roots, real or complex, does the polynomial $7 + 5x^4 - 3x^2$ have in all? 4 3 7 5

Explanation:

Step1: Identify polynomial degree

Rearrange polynomial: $5x^4 - 3x^2 + 7$. Degree = 4.

Step2: Apply Fundamental Theorem of Algebra

A degree-$n$ polynomial has $n$ roots (real/complex, counting multiplicities).

Answer:

4