# How do you find a polynomial function that has zeros x=-2 and degree n=2?

${x}^{2} + 4 x + 4$
Zero is x=-2, means that x+2 would be a factor of the polynomial. Since it is of degree2, there would be two repeated zeros . Hence the polynomial would be ${\left(x + 2\right)}^{2}$ , or ${x}^{2} + 4 x + 4$