Question

Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

Answer 1

If a polynomial function has integer coefficients, then every rational zero will have the form pq p q where p p is a factor of the constant and q q is a factor

Explanation:

Using synth. div. to check whether or not 7/2 is a root:

___________________________

7/2 / 6 -21 -4 24 -35

21 0 -14 35

----------- ------------------------------

6 0 -4 10 0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.