Polynomials review Flashcards
________ is defined as a branch of mathematics that generalizes the facts in arithmetic; uses numbers and letters that represent numbers.
Algebra
________ is an expression that contains one or more terms connected by plus or minus signs.
Algebraic Expression
Either a single number or a letter or the product of several numbers or letters.
Algebraic Term
________ is an algebraic expression that represents one term or the sum of several terms containing whole number exponents on the variables.
Polynomial
What are the restrictions of polynomials?
- The exponent of letters must be positive integers.
- Polynomials do not have variables in any denominator.
- Polynomials do not have variables under a radical sign.
________ is a polynomial that contains one term.
Ex. -7(2x-7)
Monomial
________ is a polynomial that is a sum of two terms.
Ex: -34x + 3
Binomial
________ is a polynomial that is a sum of three terms
Ex: -34x + 3yx - 8.
Trinomial
What is the “1st-degree polynomial” called?
Linear
What is the “2nd-degree polynomial” called?
Quadratic
What is the “3rd-degree polynomial” called?
Cubic
What is the “4th-degree polynomial” called?
Quarctic
What is the “5th-degree polynomial” called?
Quintic
What is the degree called when it is more than 5 called?
Nth degree polynomial
-Terms that are exactly alike or that are alike except for their numerical coefficients.
- With the same variable/s and exponents (same literal coefficients).
Similar terms
When adding two like-signed numbers, ____ the numbers and ____ the sign.
Examples:
3 + 5 = 8
-2+ ( -5 ) = -7
Add the numbers and attach the sign
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
Subtract the numbers and attach the sign of the one with the greater absolute value
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
Change the operation to add and change the sign of the subtrahend to its additive inverse
When multiplying or dividing two unlike signed numbers, the product is _______.
Examples:
3( -5) = -15 and (-3)(5) = -15
Negative
When multiplying or dividing two like signed numbers, the product is _____.
Examples:
3( 5) = 15 and ( -2)( -5) = 15
Positive
-12(3) = ?
-36
8(-20) = ?
-160
-10 - 5 = ?
-15
-128 - 8 = ?
-136
8 + (-27) = ?
-19
-86 + 72 = ?
-14
32(-12) = ?
-384
178 - (-119) = ?
297
-90 + 80 = ?
-10
-90 + (-120) = ?
-210
