Form a polynomial whose zeros and degree are given. Zeros: -3, 3, 7; Degree: 3

Answer 1

take each zero and change its sign. then stick an x in front of it

(x+3)(x-3)(x-7)

multiply them together

(x^2-9)(x-7)

= x^3 -7x^2 -9x +63 is the 3rd degree polynomial with zeros -3,3 and 7

there are infinitely other 3rd degrees polynomials with the same three zeros

found by muliplying by any integer, such as 2

2x^3 -7x^2 -9x +63

or

nx^3 -7nx^2 -9nx +63n where n= any integer

zeros = 3, -3 and 7

x=3

x-3 =0

x=-3

x+3 =0

x =7

x-7=0

those are 3 factors, x-3, x+3 and x-7

multiply them all together to get the 3rd degree polynomial