FACTORING POLYNOMIALS

Quiz by Ma. Aylene C. Fabillar

Mathematics
Philippines Curriculum: Grades K-10 (MELC)

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### Measures 1 skill fromGrade 10MathematicsPhilippines Curriculum: Grades K-10 (MELC)

M10AL-Ih-1

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15 questions
• 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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