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Module 8: Theorems on Polynomials

Quiz by Zenaida S. Nanoy

Grade 10
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

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20 questions
Show answers
  • Q1

    Which of the following is a factor of x3- 6x2- 12x + 45?

    x+2

    x-4

    x+3

    x+1

    300s
    M10AL-Ih-1
  • Q2

    What is the remainder when 2x4- 3x3- 5x + 16 is divided by x - 2?

    12

    14

    16

    18

    300s
    M10AL-Ih-1
  • Q3

    Which expression gives the remainder when P(x)= x5 + 2x3- 3x + 6 is divided by           x +3?

    P(2)

    P(-2)

    P(-3)

    p(-1)

    300s
    M10AL-Ih-1
  • Q4

    Given: P(x) = 5x3 – 2x2- 7x – 6, what is P(-1) ?

    -7

    8

    -6

    -20

    300s
    M10AL-Ih-1
  • Q5

    Which is a factor of P(x) = x4- 3x2 + 5x + 6 ?

    x+2

    x-2

    x-1

    x+1

    300s
    M10AL-Ih-1
  • Q6

    Is the polynomial x3 +x2- 12x + 3 divisible by x - 3?

    Undefined

    Maybe

    No

    Yes

    300s
    M10AL-Ih-1
  • Q7

    What is the remainder when P(x) = x2019 – 7x2020 + 6 is divided by x – 1?

    10

    12

    0

    -12

    300s
    M10AL-Ig-1
  • Q8

    Find the value of k for which x + 2 is a factor of P(x) = x3 +3x2 + kx + 10?

    6

    4

    7

    5

    300s
    M10AL-Ig-1
  • Q9

    What is the remainder when 5x200 – 3x205 is divided by x + 1?

    11

    1

    8

    -2

    300s
    M10AL-Ig-1
  • Q10

    If P(-3) = 0, which of the following statements is true about P(x )?

    x -3 is a factor of P(x )

    P( 0) = -3

    x + 3 is a factor of P(x )

    3 is a root of P(x)=0

    300s
    M10AL-Ih-1
  • Q11

    If P(x) = 7x6 – 8x8 + 2x2 + x3 – 9, then the leading coefficient is _______.

    8

    6

    9

    -8

    300s
    M10AL-Ig-1
  • Q12

    One of the roots of 3x3(x2 + 2x - 5) is 0. How many other roots are there?

    4

    6

    3

    5

    300s
    M10AL-Ig-1
  • Q13

    Which set consists the possible rational roots of x3 + 4x2- 2x + 8 = 0?

    ±1, ±2, ±4

    ±1, ±8

    ±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8

    ±1, ±2, ±4, ±8

    300s
    M10AL-Ig-1
  • Q14

    What polynomial equation has 2, 3, and 4 as roots?

    (x – 2) (x + 4) (x – 3) = 0

    (x + 2) (x – 3) (x + 4) = 0

    2 (x - 2) (x - 4) (x - 3) = 0

    2 (x + 2) (x + 3) (x + 4) = 0

    300s
    M10AL-Ig-1
  • Q15

    The root of x3 + 2x2 – 13x + 10 = 0 is_______.

    5

    -5

    -2

    -1

    300s
    M10AL-Ig-1

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