Polynomials review

Question 1

________ is defined as a branch of mathematics that generalizes the facts in arithmetic; uses numbers and letters that represent numbers.

Answer 1

Algebra

Question 2

________ is an expression that contains one or more terms connected by plus or minus signs.

Answer 2

Algebraic Expression

Question 3

Either a single number or a letter or the product of several numbers or letters.

Answer 3

Algebraic Term

Question 4

________ is an algebraic expression that represents one term or the sum of several terms containing whole number exponents on the variables.

Answer 4

Polynomial

Question 5

What are the restrictions of polynomials?

Answer 5

1. The exponent of letters must be positive integers.
2. Polynomials do not have variables in any denominator.
3. Polynomials do not have variables under a radical sign.

Question 6

________ is a polynomial that contains one term.

Ex. -7(2x-7)

Answer 6

Monomial

Question 7

________ is a polynomial that is a sum of two terms.

Ex: -34x + 3

Answer 7

Binomial

Question 8

________ is a polynomial that is a sum of three terms

Ex: -34x + 3yx - 8.

Answer 8

Trinomial

Question 9

What is the “1st-degree polynomial” called?

Answer 9

Linear

Question 10

What is the “2nd-degree polynomial” called?

Answer 10

Quadratic

Question 11

What is the “3rd-degree polynomial” called?

Answer 11

Cubic

Question 12

What is the “4th-degree polynomial” called?

Answer 12

Quarctic

Question 13

What is the “5th-degree polynomial” called?

Answer 13

Quintic

Question 14

What is the degree called when it is more than 5 called?

Answer 14

Nth degree polynomial

Question 15

-Terms that are exactly alike or that are alike except for their numerical coefficients.
- With the same variable/s and exponents (same literal coefficients).

Answer 15

Similar terms

Question 16

When adding two like-signed numbers, ____ the numbers and ____ the sign.

Examples:

3 + 5 = 8
-2+ ( -5 ) = -7

Answer 16

Add the numbers and attach the sign

Question 17

When adding two, unlike signed numbers, ______ the numbers and attach the sign of the one with the greater ________.

Examples:

3 + (-5) = -2
-3 + 5 = 2

Answer 17

Subtract the numbers and attach the sign of the one with the greater absolute value

Question 18

In Subtraction: ____ the operation to ____ and change the sign of the ________ to its additive inverse.

Examples:

3- 5 = 3 + (-5) = -2
-3 - 5 = -3 + (-5) = -8
3 - ( -5) = 3 + 5 = 8
-3 - (-5) = -3 + 5 = 2

Answer 18

Change the operation to add and change the sign of the subtrahend to its additive inverse

Question 19

When multiplying or dividing two unlike signed numbers, the product is _______.
Examples:

3( -5) = -15 and (-3)(5) = -15

Answer 19

Negative

Question 20

When multiplying or dividing two like signed numbers, the product is _____.

Examples:

3( 5) = 15 and ( -2)( -5) = 15

Answer 20

Positive

Question 21

-12(3) = ?

Answer 21

-36

Question 22

8(-20) = ?

Answer 22

-160

Question 23

-10 - 5 = ?

Answer 23

-15

Question 24

-128 - 8 = ?

Answer 24

-136

Question 25

8 + (-27) = ?

Answer 25

-19

Question 26

-86 + 72 = ?

Answer 26

-14

Question 27

32(-12) = ?

Answer 27

-384

Question 28

178 - (-119) = ?

Answer 28

297

Question 29

-90 + 80 = ?

Answer 29

-10

Question 30

-90 + (-120) = ?

Answer 30

-210