Question

Find the polynomial function with roots 1, -2, and 5. work please

Answer 1

will it will be P(x) =k(x -1)(x+2)(x-5)

k is a constant

just expand and collect like terms

Answer 2

What's written above^

Answer 3

@campbell_st , is "k" necessary?

Answer 4

There are infinitely many polynomials with those three roots. The "k" accounts for that.

Answer 5

yes as the polynomial P(x) = 2x^2 + 10x + 12
= 2(x^2 +5x +6)
= 2(x+2)(x+3)

Answer 6

Ah, perfect.