Write the simplest polynomial function with the given roots 1/2,5, and -2

Step-by-step explanation:

Given 1/2,5, and -2 as roots of the polynomial, the function in terms of x is expressed as;

P(x) = (x - 1/2)(x - 5)(x+2)

Expand;

(x - 1/2)(x - 5) = x²-5x -x/2 + 5/2

(x - 1/2)(x - 5) = x²-11x/2 + 5/2

P(x) = (x²-11x/2 + 5/2)(x+2) = x³+2x²-11x²/2-22x+5x/2 + 10

P(x) = x³-7x²/2-39x/2 + 10

Hence the required polynomial is x³-7x²/2-39x/2 + 10

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

7

step-by-step explanation: