Factoring Polynomials

Quiz by CHARITO P. FERRER

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- Q1
1. All the numbers below are perfect squares EXCEPT ____

100

111

169

144

30sM8AL-Ia-b-1 - Q2
Which of the following is a prime polynomial?

x

^{2}^{ }+ 2x + 4^{ }x

^{2}^{ }+ 3x - 4^{ }x

^{2}^{ }- 4x

^{2}^{ }+ 4x + 4^{ }30s - Q3
Factor the polynomial 3x

^{2 }+ 3x completely.3(x

^{2 }+ 3x)3x (x + 1)

3x (x + 3)

3(x

^{2 }+ 1)30s - Q4
Fill in the blanks to make the statement true:

The term 4x

^{3}is the GCF of a polynomial if _____ is the greatest integer that divides each of the coefficients of the polynomial and ____ is the smallest exponent of x in all the terms of the polynomial.4x

^{3}, x4, 3

4, x

^{3}4x, 3

30s - Q5
Choose the set of perfect cubed numbers and expressions.

8, x

^{4}, 27, x^{12}25, 125, x

^{3}, x^{6}27, 64, x

^{6}, x^{9}1, 8, x

^{6}, x^{20}30s - Q6
Factor completely x

^{2 }- 24x + 144.(x + 12) (x - 12)

(x - 11) (x - 11)

(x + 12)

^{2}(x - 12)

^{2}30s - Q7
Factor completely 9x

^{2}- 100.(3x - 10)

^{2}(9x + 10) (x - 10)

(3x + 10) (3x + 10)

(3x + 10) (3x - 10)

30s - Q8
Factor completely: 8 + x

^{3}(4 + x

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

^{2})(x -2) (x

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

^{2})30s - Q9
The expression x

^{6}+ y^{6}is both the sum of two squares and the sum of two cubes. Which of the two ways should you use to factor it?Factoring the sum of two squares is easy to use than the sum of two cubes.

The sum of two cubes is not applicable to factor the expression.

The sum of two cubes since the sum of two squares is not factorable.

Both ways can be used to factor the expression.

30s - Q10
Which of the following gives the product of x

^{2}-13x + 36?(x - 6) (x - 6)

(x - 12) (x + 3)

(x - 9) (x + 4)

(x - 9) (x - 4)

30s - Q11
If (x + 3) is a factor of x

^{2}- 2x - 15, what is the other factor?(x + 5)

( 2x - 5)

(2x + 5)

(x - 5)

30s - Q12
In factoring 6x

^{2 }+^{ }40x + 24, the first step is to factor out the GCF. What is the GCF of the terms?6

4

2

3

30s - Q13
In factoring 6x

^{2 }+^{ }40x + 24, if the GCF is 2, what is the trinomial factor?3x

^{2 }+ 20x + 63x

^{2 }+ 20x + 123x

^{2 }+ 10x + 123x

^{2 }+ 10x + 830s - Q14
In factoring 6x

^{2 }+ 40x + 24, after the first factoring, it is reduced to 2(3x^{2 }+ 20x + 12). But 3x^{2 }+ 20x + 12 is still factorable. Which of the following will give the product 3x^{2 }+ 20x + 12?(3x + 18) (x + 2)

(3x + 2) (x + 6)

(3x + 4) (x + 3)

(3x + 6) (x + 2)

30s - Q15
To factor a trinomial of the form

x*a*^{2}+x +*b*, first find two numbers whose product is*c*and whose sum is**ac**. This statement is always true, sometimes true or never true?**b**Cannot be determine

Always True

Sometimes True

Never True

30s