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FACTORING POLYNOMIALS

Quiz by Ma. Aylene C. Fabillar

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

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Measures 1 skill from
Grade 10
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

M10AL-Ih-1

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15 questions
Show answers
  • Q1

    It is the greatest factor that is a factor of two or more numbers.

    PST

    GCMF

    LCD

    Prime Factors

    30s
    M10AL-Ih-1
  • Q2

    It is the reverse of multiplication. It is a way of finding what to multiply together to get a polynomial.

    multiplication

    division

    factoring

    product

    30s
    M10AL-Ih-1
  • Q3

    It is a type of factoring in which you group together terms with common factors.

    factoring by grouping

    factoring by using factor theorem

    prime factorization

    greatest common factor

    30s
    M10AL-Ih-1
  • Q4

    In the given expression x2–16 = (x – 4) (x + 4), what do you call (x – 4) (x+4)?

    product

    divisor

    quotient

    factors

    30s
    M10AL-Ih-1
  • Q5

    To become a factor of the polynomial, the remainder must be equal to ___.

    1

    2

    0

    3

    30s
    M10AL-Ih-1
  • Q6

    Factor x3 – 125 completely.

    (x – 5) (x2 + 10x + 25)

    (x – 5) (x2 – 5x + 25)

    (x – 5) (x2 + 5x + 25)

    (x – 5) (x2 – 10x + 25)

    30s
    M10AL-Ih-1
  • Q7

    Factor: x3 – 5x2 + 4x – 20.

    (x – 5) (x2 + 4)

    (x – 4) (x2 + 5)

    (x + 4) (x2 + 5)

    (x + 5) (x2 + 4)

    30s
    M10AL-Ih-1
  • Q8

    Factor 4x4 – 101x2 + 25 completely.

    (2x – 5) (x + 5) (x -1) (2x + 1)

    (x – 5) (x + 5) (2x -1) (2x + 1)

    (x + 5)2(2x +1)2

    (x – 5)2(2x -1)2

    45s
    M10AL-Ih-1
  • Q9

    The binomials x + 1 and x – 5 are factors of the polynomial x3– x2–kx–15. What is the other factor?

    x+5

    x + 3

    x-3

    x-1

    45s
    M10AL-Ih-1
  • Q10

    Factor fully: x4 – 64.

    (x – 2)2(x4 + 4x + 16)

    (x2 + 4) (x4 + 4x2 + 16)

    (x3 – 4) (x4 + 4x + 16)

    (x2 – 4) (x4 + 4x2 + 16)

    30s
    M10AL-Ih-1
  • Q11

    What are the factors of 2x5 + x4 + 34x3 + 17x2 + 32x + 16?

    (2x + 1) (x + 1) (x -1) (x+4) (x – 4)

    (2x + 1) (x + 1)2(x + 16)2

    (x2 + 1) (x2 + 16) (2x + 1)

    (x + 1)2(x + 4) (x – 4) (2x + 1)

    60s
    M10AL-Ih-1
  • Q12

    The polynomial 2x3 + kx2 – 13x + 5 has (2x – 1) as a factor. Find k.

    2

    5

    3

    4

    45s
    M10AL-Ih-1
  • Q13

    A tent is in the shape of a triangular prism. The volume of the tent is (3x3 – 4x2 – 28x – 16) cubic meters. How high is the tent if it is (x+2) meters wide and (3x + 2) meters long?

    (3x – 2) m

    (x – 4) m

    (x + 3) m

    (x + 4) m

    60s
    M10AL-Ih-1
  • Q14

    A cylinder has a volume of (πx3- 3πx - 2π) cubic cm. If its height is (x-2), what is its radius?

    (x + 2) cm

    (x – 1) cm

    (x – 2) cm

    (x + 1) cm 

    30s
    M10AL-Ih-1
  • Q15
    45s
    M10AL-Ih-1

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