Form a polynomial whose zeros and degree are given

Question

Zeros : 6, multiplicity 1; 4, multiplicity 2; degree 3

Answer 1

Remember that zeroes are where the graph crosses the x-axis (where y = 0), so any factors that equal 0 are our binomials.

How do we get to a zero of 6? x - 6 = 0, so one factor is x - 6.

(x - 6)(x - 4)(x - 4) are the factors from what's given. Multiply them out for your polynomial.