1) These are integers by which a given number can be divided evenly without remainder. *

Addend
Factor
Product
Sum

2) It is the process of identifying factors of a given polynomial: *

Factoring
Extraction of Roots
Multiplication
Summation

3) The following can be used to find the factors of a polynomial except ONE: *

Trial and Error Method
Synthetic Division
Factor Theorem
Solving for x

4) A kind of factor in which it is composed of only one term. *

Monomial
Trinomial
Binomial
Polynomial

5) The general pattern for factoring difference of two squares: *

(a2 - b2) = (a - b)(a - b)
(a2 - b2) = (a + b)(a + b)
(a2 - b2) = (a + b)(a - b)
(a2 - b2) = (a - b)2

6) The general pattern for perfect square trinomial: *

(a2 - 2ab + b2) = (a + b)2
(a2 - 2ab + b2) = (a + b)(a - b)
(a2 - 2ab + b2) = (a - b)2
(a2 - 2ab + b2) = (a - b)(a + b)

7) The factoring method by which there is no concrete pattern used, instead, we just try certain sets of factors to be tested: *

Factoring by Grouping
Factoring by Perfect Square Trinomial
Factoring by Sum or Difference of Two Cubes
Factoring by Trial and Error

8) This is an equation formed by variables, exponents and coefficients: *

Rational equation
Linear inequality
Polynomial equation
Complex equation

9) The exponent of a polynomial equation has the following characteristics except ONE: *

Positive
Integers
Fraction
Real

10)We call ____ the values of x in a polynomial equation. *

Degree
Factor
Addend
Roots

11) This theorem states that “If A x B = 0, then either A = 0 or B = 0”. *

Remainder Theorem
Fundamental Theorem of Algebra
Factor Theorem
Zero Product

12) It is a sequence without ending and the number of terms cannot be determine. *

Arithmetic
Geometric
Finite
Infinite

13) This theorem states that “every polynomial equation of degree n has at most n real roots” *

Remainder Theorem
Fundamental Theorem of Algebra
Factor Theorem
Zero Product

14) The following are examples of polynomial equations except ONE: *

x3 - 4x = 3
xy5 + 8x - 9y - 4 = 0
x - 2 + 3y = 0
4x = 2

15) The highest exponent in a polynomial equation is known as the ____ of the polynomial equation. *

Degree
Factor
Addend
Roots

16) The first step in factoring by grouping: *

Group the terms with common factors
Obtain their common factors in each group.
Rewrite them as binomial factors.

17) Find the square roots of the first and last term.
The second step in factoring by grouping: *

17)Group the terms with common factors.
Obtain their common factors in each group.
Rewrite them as binomial factors.

19)Find the square roots of the first and last term.
The third step in factoring by grouping: *

20)Group the terms with common factors.
Obtain their common factors in each group.
Rewrite them as binomial factors.

21)Find the square roots of the first and last term.
What is the degree of (x + 6)(x + 1) (x - 11) = 0? *

0
1
2
3

22) What is the number of real roots of (x + 6)(x + 1) (x - 11) = 0? *

0
1
2
3
23) What are the real roots of (x + 6)(x + 1) (x - 11) = 0? *

-6
-1
1
11

24) What is the other factor of (X - 1) (_____) = 0 *

0
x
1
-1

25) What makes the equation 6x - (3x)^-2 = 0 NOT a polynomial equation? *

6
3x
0
-2



pa help naman po​