Question

Find all the zeros of the polynomial function
x^3-2x^2 +5x-10

Answer 1

Answer: x =
`√(5) , -√(5)` , and 2

Explanation:

in the first two monomials you can factor out x^2, and on the last pair of two monomials you can factor out 5

so, x^2(x-2)+5(x-2)

some rule out there says you can simplify this to

(x^2+5)(x-2)

to find the zeroes, set it equal to zero

(x^2+5)(x-2) = 0

you can split up the pairs of parenthesis to equal 0

(x^2+5) = 0

(x-2)=0

find x for both equation and you end up with
`√(5) , -√(5) , and 2`