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  • Polynomials
  • Operations with Polynomials
  • Division of polynomial and remainder theorem

Division of polynomial and remainder theorem

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  • Question 1:
    1 pts
    Is the following equation true or false? 25x2÷5x=5x25x^2 \div 5x = 5x
  • Question 2:
    1 pts
    27a2÷27a^2 \div
    =3a=3a
  • Question 3:
    1 pts
    Divide 2x3+4x2x\frac{2x^3+4x}{2x}
    x2+2xx^2+2x
    x+2x+2
    2x+22x+2
    x2+2x^2+2
  • Question 4:
    1 pts
    Is the following equation true or false? 2x+4x+1=2\frac{2x+4}{x+1} = 2
  • Question 5:
    2 pts
    Divide (x22x3)(x^2 - 2x -3) by (x+1)(x + 1)

    x3x-3

    x+3x+3

    x2x-2

    x+2x+2

  • Question 6:
    2 pts
    Is the following equation true or false? 2x35x29x32x+1=x23x3\frac{2x^3-5x^2-9x-3}{2x+1} = x^2-3x-3
  • Question 7:
    3 pts
    Use the remainder theorem to find the remainder when x32x23x^3-2x^2-3 is divided by x+1x+1.

    66

    4-4

    44

    6-6

  • Question 8:
    3 pts
    Use the remainder theorem to find the remainder when x3+3x210x^3+3x^2-10 is divided by x1x-1.

    55

    5-5

    6-6

    8-8

  • Question 9:
    3 pts
    For what value of aa will the polynomial p(x)=x3+x+ap(x)=x^3+x+a have remainder 2 when it is divided by x+2x+2 ?

    a=10a = 10

    a=11a = 11

    a=12a = 12

    a=13a = 13

  • Question 10:
    3 pts
    For what value of bb will the polynomial p(x)=x2bx+3p(x)=x^2-bx+3 have the same remainder when it is divided by (x2)(x-2) and by (x+1)(x+1) ?

    b=1b = 1

    b=2b = 2

    b=3b = 3

    b=4b = 4