Question

Find a polynomial function with the given zeros -1,7, - radical 2, and radical 2

Answer 1

You are given FOUR zeros: {-1,7,-Sqrt(2) and Sqrt(2)}.

Each one corresponds to a factor of your polynomial. for example, -1 corresponds to the factor (x-[-1]), or (x+1). what are the other three factors?

Multiply all four factors together to obtain the polynomial in question.

Answer 2

Would the answer be:
(X+1)(x-7)(x-sqrt(2))(x+sqrt(2))
X^2-6x-7)(x^2-sqrt(2))?

Answer 3

Nancyo: Please note that (x-sqrt(2))(x+sqrt(2)) = x^2-2. Try again, OK?

Answer 4

\[(a-b)(a+b)=a^2-b^2.\]

Answer 5

\[(x-\sqrt{2})(x+\sqrt{2})=?\]

Answer 6

X^2-2i?

Answer 7

Building upon what you already have: (X+1)(x-7)(x-sqrt(2))(x+sqrt(2))\[(x+1)(x-7)(x^2-2)=?\]

Answer 8

X^4-7x^2-14?

Answer 9

X^4-6x^3-9x^2-12x+14?