Question

Form a polynomial whose zeros and degree are given.

Zeros: 2, multiplicity 2; -2, multiplicity 2; degree 4

Answer 1

Since 2 is a zero, a factor of the polynomial must be:\[x-2\] the multiplicity being two makes it:\[(x-2)^2 \]Same thing with -2 being a root and of multiplicity 2:\[(x+2)^2\]So the whole polynomial will be:\[(x-2)^2(x+2)^2\]i leave it to you to multiply it out.