Jorge wants to divide 3x^2 – x – 2 by x + 4 using synthetic division. Which shows the correct process?

Jorge wants to divide 3x2 x 2 by x + 4 using synthetic division. Which shows the correct process?

A.-4|----3----(-1)----(-2)

-------------(-12)------52

________________

------3------(-13)----50

B.-4|----3----(-1)----(-2)

--------------12------(-44)

________________

------3------(-11)----(-46)

C. -4|----3----(-1)----(-2)

--------------(-12)----44

________________

------3------11----42

D.-4|----3----(-1)----(-2)

--------------12------52

________________

------3------(-13)----(-54)

5 Answers

  • (3x² - x - 2) ÷ (x + 4)

    => Using the remainder theorem, set x + 4 to be equal to 0, i.e.

    x + 4 = 0

    x = - 4

    => Substitute - 4 for x in 3x² - x - 2, i.e.

    3(- 4)² - (- 4) - 2

    = 3 * 16 + 4 - 2

    = 48 + 4 - 2

    = 52 - 2

    = 50 ...

    => From the remainder theorem of calculation, we can say that option A is correct ...Ans.

  • Jorge wants to divide (3x^2 - x - 2) by (x + 4) using synthetic division.

    Which shows the correct process?

    A.-4|----3----(-1)----(-2)

    -------------(-12)------52

    ________________

    ------3------(-13)----50

  • -13 + 3 x + 50/(4 + x)

  • A

  • A

    🙂

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