3. Consider the polynomial f(x)=x³-7x²+8x+16
a. Find f(10) using synthetic division.
b. Is 10 a zero of the function? Explain in a complete sentence using proper grammar and correct
spelling.
c. Use synthetic division to determine if x + 1 is a factor of f(x).
d. Is-1 a zero of the function? Explain in a complete sentence using proper grammar and correct
spelling.
e. List all of the zeros, and their multiplicities of the polynomial.
f. Write the polynomial as a product of linear factors.