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