Solving polynomial equations by finding the roots
3x2+8x=-4
x=-2/3
x=-2
The multiplicity of a root is?
How many times the root occurs as a solution.
What 4 letter acronym do we use to remember how to factor difference of cubes?
SOAP
You do not need this part to get credit
S: Same
O: Opposite
A: Always
P: Positive
Find the degree of the following problem.
-x2 -6x4 +2x= -3x4
Degree=4
Simplify and list the equation by factoring include the degree and leading coefficient
f(x)=(x-2)(x+4)(x-7)
x3-5x2-22x+56
LC=1
D=3
(x+2)(x-6)=x+2
x=7
x=-2
Include the multiplicity
(4x-1)(x+3)
x=1/4 M1
x=-3 M1
x3+125
Simplify the problem above
(x+5) (x2-5x+25)
Find the degree for the following problem
4(x-3)3(2x-5)2=0
Degree=5
x3+2x2-9x-18=0
x=-2
x=-3
x=3
(x+1)2(x-6)=0
3
8x3+27
Simplify the problem above and also solve for A and B from the formula you used to solve
a=2x
b=3
(2x+3)(4x2-6x+9)
Factor the following problem and simplify
5x4-125x2
5x2(x+5)(x-5)
Find the Leading Coefficient Degree and X Intercept(s)
f(x)=-3/2x(x-2)(x+6)
Degree=3
x4 -9x2+20=0
x= radical 5
x= radical-5
x=2
x=-2
Find the total degree of the problem below.
x3(x-2)2(x2+4x-8)=0
7
Factor the problem below
343x3+64y3
(7x+4y) (49x2-28xy+16y2)
Simplify please List Multiplicity and all value of what x equals
x3+x2-x-1
x=-1 M=2
x=1 M=1
Find the Lead Coefficient, Degree and all X intercepts
-2(x+2)(2x+1)(x-4)(x-1)
LC:-4
D:4
X intercepts (-2,0)(-.5,0)(4,0)(1,0)
Challenge
(x-2)(5x2+5x-1)=0
x= -5+3 radical 5
10
x= -5-3 radical 5
10
Find the values of x and there multiplicity
6x5+44x4+14x3=0
x=0 M3
x=1/3 M1
x=-7 M1
Factor the problem below
648x+1029x4
3x(6+7x)(36 -42x+49x2)
Trick question what is x0
1