Factoring Binomials
x² − 25
(x − 5)(x + 5)
For y = 2x + 1, find two points using x = 0 and x = 1.
(0,1) y (1,3)
Calculate the distance between A(0,0) and B(3,4)
5
4x² − 9
(2x − 3)(2x + 3)
For y = −x + 4, find two points using x = 0 and x = 2.
(0,4) y (2,2)
Calculate the distance between A(1,2) and B(4,6)
5
9y² − 16
(3y − 4)(3y + 4)
For y = 3x − 2, find two points using x = 0 and x = 2
(0,−2) y (2,4)
alculate the distance between A(−2,3) and B(4,11)
10
25a² − 49
(5a − 7)(5a + 7)
For y = −2x + 6, find two points using x = 1 and x = 3
(1,4) y (3,0)
Calculate the distance between A(−3,−2) and B(5,4)
10
36m² − 121n²
(6m − 11n)(6m + 11n)
For y = ½x − 3, find two points with integer values of x that make the calculation easier
(0,−3) y (6,0)
What formula is used to calculate the distance between (x₁,y₁) and (x₂,y₂)?
d = √[(x₂−x₁)² + (y₂−y₁)²]