FACTORING POLYNOMIALS

Quiz by Ma. Aylene C. Fabillar

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

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- Q1
It is the greatest factor that is a factor of two or more numbers.

PST

GCMF

LCD

Prime Factors

30sM10AL-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

30sM10AL-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

30sM10AL-Ih-1 - Q4
In the given expression x

^{2}–16 = (x – 4) (x + 4), what do you call (x – 4) (x+4)?product

divisor

quotient

factors

30sM10AL-Ih-1 - Q5
To become a factor of the polynomial, the remainder must be equal to ___.

1

2

0

3

30sM10AL-Ih-1 - Q6
Factor x

^{3}– 125 completely.(x – 5) (x

^{2}+ 10x + 25)(x – 5) (x

^{2}– 5x + 25)(x – 5) (x

^{2}+ 5x + 25)(x – 5) (x

^{2}– 10x + 25)30sM10AL-Ih-1 - Q7
Factor: x

^{3}– 5x^{2}+ 4x – 20.(x – 5) (x

^{2}+ 4)(x – 4) (x

^{2}+ 5)(x + 4) (x

^{2}+ 5)(x + 5) (x

^{2}+ 4)30sM10AL-Ih-1 - Q8
Factor 4x

^{4}– 101x^{2}+ 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}45sM10AL-Ih-1 - Q9
The binomials x + 1 and x – 5 are factors of the polynomial x

^{3}– x^{2}–kx–15. What is the other factor?x+5

x + 3

x-3

x-1

45sM10AL-Ih-1 - Q10
Factor fully: x

^{4}– 64.(x – 2)

^{2}(x^{4}+ 4x + 16)(x

^{2}+ 4) (x^{4}+ 4x^{2}+ 16)(x

^{3}– 4) (x^{4}+ 4x + 16)(x

^{2}– 4) (x^{4}+ 4x^{2}+ 16)30sM10AL-Ih-1 - Q11
What are the factors of 2x

^{5}+ x^{4}+ 34x^{3}+ 17x^{2}+ 32x + 16?(2x + 1) (x + 1) (x -1) (x+4) (x – 4)

(2x + 1) (x + 1)

^{2}(x + 16)^{2}(x

^{2}+ 1) (x^{2}+ 16) (2x + 1)(x + 1)

^{2}(x + 4) (x – 4) (2x + 1)60sM10AL-Ih-1 - Q12
The polynomial 2x

^{3}+ kx^{2}– 13x + 5 has (2x – 1) as a factor. Find k.2

5

3

4

45sM10AL-Ih-1 - Q13
A tent is in the shape of a triangular prism. The volume of the tent is (3x

^{3}– 4x^{2}– 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

60sM10AL-Ih-1 - Q14
A cylinder has a volume of (πx

^{3}- 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

30sM10AL-Ih-1 - Q1545sM10AL-Ih-1