Factoring Polynomials

Quiz by CHARITO P. FERRER

Mathematics

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15 questions
• Q1

1.  All the numbers below are perfect squares EXCEPT ____

100

111

169

144

30s
M8AL-Ia-b-1
• Q2

Which of the following is a prime polynomial?

x2   + 2x + 4

x2   + 3x - 4

x2   - 4

x2   + 4x + 4

30s
• Q3

Factor the polynomial 3x2 + 3x completely.

3(x+ 3x)

3x (x + 1)

3x (x + 3)

3(x+ 1)

30s
• Q4

Fill in the blanks to make the statement true:

The term 4x3 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.

4x3, x

4, 3

4,  x3

4x, 3

30s
• Q5

Choose the set of perfect cubed numbers and expressions.

8, x4, 27, x12

25, 125, x3, x6

27, 64, x6, x 9

1, 8, x6, x20

30s
• Q6

Factor completely x2 - 24x + 144.

(x + 12) (x - 12)

(x - 11) (x - 11)

(x + 12)2

(x - 12)2

30s
• Q7

Factor completely 9x2 - 100.

(3x - 10)2

(9x + 10) (x - 10)

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

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

30s
• Q8

Factor completely: 8 + x3

(4 + x2) (2 + x)

(2 - x) (4 +2x - x2)

(x -2) (x2 + 2x - 4)

(2 + x) (4 - 2x + x2)

30s
• Q9

The expression x6 + y6 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 x2 -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 x2 - 2x - 15, what is the other factor?

(x + 5)

( 2x - 5)

(2x + 5)

(x - 5)

30s
• Q12

In factoring 6x2 + 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+ 40x + 24, if the GCF is 2, what is the trinomial factor?

3x+ 20x + 6

3x+ 20x + 12

3x+ 10x + 12

3x+ 10x + 8

30s
• Q14

In factoring 6x+ 40x + 24, after the first factoring, it is reduced to 2(3x+ 20x + 12).  But 3x+ 20x + 12 is still factorable. Which of the following will give the product 3x+ 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 ax2 + bx + c, first find two numbers whose product is ac and whose sum is b. This statement is always true, sometimes true or never true?

Cannot be determine

Always True

Sometimes True

Never True

30s

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