Quadratic Relations
Everything you need to know!
Multiplying Binomials
You use the distributive property to expand binomials. You can also use the foil. This method stands for F- first O-outside I-inside L-last. But the distributive property works for everything. (x+a) (x+b)= x^2+bx+ax+ab
Common Factoring
Factoring is the opposite of expanding. If every term of a polynomial is divisible by the common constant it is called common factoring.
ab+ac= a(b+c) >> This is common factoring << 4(x+5)= 4x+20
A polynomial is not considered to be completely factored until the Great Common Factor (G.C.F) has been figured out.
~G.C.F~
SImple Trinomials: x^2+bx+c
Complex Trinomials: Ax^2+bx+c
Factoring by Grouping
Completing Squares
Ex.1
=x^2-25
=(x-2) (x+2)
Ex.2
=x^2-4
=(x+5)(x-5)
Questions. Try it :)
- 1.) (x+2) (x+5)
- 2.) (x-4) (x+7)
- 3.) (2x+7)2
- 4.) 8x2+8x+16
- 5.) -24x3y4-6x2 y3+18x2y5
- 6.) x2+11x+28
- 7.) x3-1
- 8.) 6x2 (1-x2)+7x (1-x2)+2 (1-x2)
- 9.) (2x+1)2- (4x-3) (4x+3)