The correct option for How many roots does the polynomial function, y=(x-8)(x+3)^2 have is A. 2
The polynomial function y = (x-8)(x+3)^2
To find the number of roots we look at the exponent of each factor
(x-8) has exponent 1 , x = 8 is a root (one root)
(x+3)^2 has exponent 2, x = -3 is one of the root
(x+3)^2 = 0
Take square root on both sides
x+3 = 0
x = -3
So the given polynomial has two roots 8 and -3
What are the 4 types of polynomial functions?
The 4 most common types of polynomials that are utilized in precalculus and algebra are 0 polynomial feature, linear polynomial characteristic, quadratic polynomial function, and cubic polynomial function.
Conclusion: A polynomial is a function of the form f(x) = anxn + an−1xn−1 + ... + a2x2 + a1x + a0 . The degree of a polynomial is the highest power of x in its expression. Constant (non-0) polynomials, linear polynomials, quadratics, cubics, and quartics are polynomials of degrees 0, 1, 2, three, and four respectively.
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