Answer:
To find to polynomial from zeros.
Find the factors. If it is a positive zero, the factor will be (x- zero) If it is a negative zero if is (x+zero)
Multiply the factors together.
Zeros of -4, -2, 5 would be:
Find the factors: (x+4)(x+2)(x-5)
Multiply the factors together: Will start out with FOIL for (x+4)(x+2) = x2+2x+4x+8 Combine like terms. Then multiply by the last factor
(x2+6x+8)(x-5) using the distributive property
x3+6x2+8x-5x2-30x-40 Combine like terms
x3+x2-22x-40
For the next one, the factors are a bit more complicated because of the radical. With a radical, you will also have to have a factor with the conjugate (Same term opposite sign)
4, 6, negative square root of 7
Factors would be: (x-4)(x-6)(x-√7)(x+√7) You can FOIL the first 2 factors and the last 2, then multiply them together using the distributive property.
Step-by-step explanation:
hope this helps!!!!
