Binomials, Trinomials, & Polynomials
A polynomial equation with two terms usually joined by a plus or minus sign.
What is a binomial?
m2-5m-14=0
Solve for m.
m=7,-2
x + 5y – 10 = 2x
What is y= 1/5x+2?
x=3y
x-3y=0
What is infinite solutions?
–14x + y = 7
What is y = 14x + 7?
The whole number exponent on the variable in a term.
An imaginary line that runs through the vertex of a parabola which divides the parabola into two symmetrical halves.
What is axis of symmetry?
5y + 3 = 2y – 3x + 5
What is y= -3x+2/3?
−3x + 3y = 4
−x + y = 3
What is no solution?
3(x-y)/2=9
What is y=x-6?
(3n + 2)(n + 3)
What is 3n2+11n+6?
Using the discriminant, determine the number of real solutions.
-4x² + 20x - 25 = 0
What is one real solutions?
5y + 3 = 2y – 3x + 5
What is y= -3x+2/3?
x + 3y = 1
−3x − 3y = −15
What is (7,-2)?
3x + 4y = 8
What is y=-3/4x+2?
When you're asked to square a binomial, it simply means to________. The square of a binomial will be a ______.
What is multiply by itself & a trinomial?
Formula for a quadratic equation.
x = −b + √(b2 − 4ac)/2a
x = −b − √(b2 − 4ac)/2a
3y=15x-12
What is y=5x-4?
Explanation: Divide both sides by 3, then Factor out the common term 3, after that just cancel out the 3.
One equation is solved for one variable and that solution is substituted in the second equation
What is the substitution method?
–11x – 7y = –56
What is y=-11/7x + 8?
The method for multiplying binomials and the formula.
What is The FOIL method? What is it is the sum of:
multiplying the First terms, multiplying the Outer terms, multiplying the Inner terms, and multiplying the Last terms
Example: (a+b)(c+d) = ac + ad + bc + bd
2x2 − 3x − 15 = 5
What is x= -5/2, 4
5(x + y) = 20 + 3x
What is -2/5x + 4?
−3x − 8y = 20
−5x + y = 19
What is (-4,-1)?
12y = 8x – 48/3
What is y = 2/9x- 4/3?