without solving, apply the fundamental theorem of algebra to determine how many roots y = 8x^5 - 2x^4 + 6 will have
eight roots
three roots
six roots
five roots
According to the fundamental theorem of algebra, a polynomial equation of degree n will have exactly n roots.
In this case, we have a polynomial equation of degree 5: y = 8x^5 - 2x^4 + 6. Therefore, by applying the fundamental theorem of algebra, we can conclude that this equation will have exactly 5 roots.