what is the polynomial function in standard form with zeros 1,1,2

Answer 1

(x-2)(x-1)(x-1) =

(x-2)(x-1)^2 =

(x-2)(x^2 - 2x + 1) =

x^3 -4x^2 +5x-2

just take each zero and change its sign, then stick an x in front of it, then multiply the factors all together

check your answer:

replace x by 1, and see if it all equals zero

1-4+5-2 = 0

replace x by 2 and see if it all equals zero

8-16+10-2 =0

it works. if it hadn't there would have been an algebraic error multiplying the factors somewhere