I keep getting this problem can someone please help me?!!?

Use the Division Algorithm and synthetic division to express the polynomial function

P(x) = 7x^3 − 40x^2 − 9x − 18

in the form (divisor)(quotient) + remainder for the divisor.

x − 6

Attachment image

4 Answers

Relevance
  • 2 months ago
    Favorite Answer

    The answer:

    P(x) = (x - 6)(7x² + 2x + 3) + 0

    Attachment image
    • Log in to reply to the answers
  • ?
    Lv 7
    2 months ago

    (See below for work and solution)

    Attachment image
    • Log in to reply to the answers
  • 2 months ago

    You need to *divide* the first polynomial (P(x)) by the binomial (x-6) using synthetic division. You seem to be multiplying.

    When dividing a 3rd-degree polynomial by a 1st-degree polynomial, you would expect the result to be a 2nd-degree polynomial, not a 4th-degree polynomial.

    Synthetic division:

    7x^3 - 40x^2 - 9x - 18 --> coefficients 7, -40, -9, -18

    x - 6 --> (x - 6) = 0 --> x = 6 --> divisor 6

    6 | 7 . -40 . -9 . -18

    .. | . . . 42 . 12 . 18

    .. ------------------------

    .... 7 . . . 2 . 3 | . . 0 <-- remainder

    ....^ coefficients

    The resulting polynomial has coefficients of 7, 2, 3 with no remainder

    Answer:

    7x² + 2x + 3

    • Shakir2 months agoReport

      Before I put the same answer you put and now i did the same it says it wrong!

    • Log in to reply to the answers
  • Anonymous
    2 months ago

    Yes, of course someone can help you.

    • Log in to reply to the answers
Still have questions? Get answers by asking now.