Naming Polynomials
Name the polynomial: 5x
Linear monomial
Factor the trinomial:
x2 - 26x + 25
(x - 1)(x - 25)
What two terms of a trinomial must be perfect squares in order for it to be a trinomial square?
The first and last term
Is the square root of 144 rational or irrational
rational
multiply (x - 8)(2x + 12)
2x2 - 4x - 96
X2 + 3X
Quadratic binomial
x2 + 3x - 4
(x - 1)(x + 4)
Multiply without foiling:
(x - 6)2
x2 - 12x + 36
Is the square root of 60 rational or irrational?
irrational
How many weeks are there in a year?
52
x3 + x2 + 9x
cubic trinomial
x2 - 9x - 52
(x - 13)(x + 4)
Is this a trinomial square? If so, factor it.
x2 - 14x + 49
(x - 7)2
Give an example of a rational number and an irrational number.
6, square root of 7
Multiply (x + 8)2
x2 + 16x + 64
x5 + 3x3 + x3 + 4x
5th degree trinomial
3x2 + 23x + 4
(3x + 1)(x + 4)
Is this a trinomial square? If so, factor it.
x2 - 8x - 16
Not a trinomial square - can't do the square root of a negative number.
Explain the difference between a rational and irrational number.
A rational number can be written as the ratio of two integers. An irrational number cannot be written as a ratio of two integers.
What acronym is used to determine what order we multiply binomials. What does each term stand for?
FOIL - First, Outside, Inside, Inside, Last
2x3 + 4x2 - 7x + 9
cubic polynomial with 4 terms
10x2 + 19z + 6
(2x + 3)(5x + 2)
x2 - 202x +10,201
(x - 101)2
Give an example of an imaginary number.
Square root of a negative number
What is the solution to the following trinomial? There are more than 1.
b2 + 5b - 24 = 0
(b - 3)(b + 8) = 0
b = 3 and -8