One of the factors of the polynomial x3 + 5×2 + 6x is (x2 + 3x). What is the other factor?

Question

One of the factors of the polynomial x3 + 5×2 + 6x is (x2 + 3x). What is the other factor?

in progress 0
Mia 1 week 2021-09-09T07:38:58+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T07:40:57+00:00

    Answer:

    x+2

    Step-by-step explanation:

    Dividing the poly by the known factor:

    x3+5×2+6x    | x2+3x

    -x3-3×2             x + 2  <- the answer is here

          2×2+6x

          -2×2-6x

    To prove that, let’s multiply the two factors and find the pylonomial back on:

    (x2+3x).(x+2) = x3 + 2×2 + 3×2 + 6x = x3 + 5×2 + 6x

    Tks your attention!

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )