Factoring Polynomials & Determining Zeros
Factor the polynomial:
x3+7x2+10x
x(x+5)(x+2)
Use Synthetic Division to divide the following equation:
(x2-3x-40)/ (x+5)
x-8
Divide the polynomial by long division.
(3x3+7x-20) / (x2+4)
3x + (-5x-20)/(x2+4)
What is rule for factoring a sum of cubes?
a3+b3=(a2-ab+b2)
Factor the polynomial:
9x3+6x2-3x
3x(3x-1)(x+1)
Use Synthetic Division to solve the following equation:
(x3+3x2-x+2)/(x-1)
x2+4x+3, R:5
Use Long Division to solve the following equation:
(2x3+3x2+18x-8) / (x2-4)
2x+3+(26x+4)/(x2-4)
What is rule for factoring a difference of squares?
a2-b2=(a+b)(a-b)
Factor the polynomial and find the zeros:
3x3+12x2-3x=12
x=-4,-1,1
Use Synthetic Division to solve the following equation:
(x3+27) / (x+3)
x2-3x+9
Use Long Division to solve the following equation:
(x2-7x+10)/ (x+3)
x-10+40/(x+3)
The following is an example of which factoring rule?
8x3-1=(2x-1)(4x2+2x+1)
Difference of cubes
Factor the polynomial to find the zeros.
2x3=4x2+22x+24
x=-3, 1, 4
Use Synthetic Division to solve the following equation:
(x4+3x3+x+4) / (x+3)
x3-3x2+12x-35, R:109
Use Long Division to solve the following equation:
(x3+5x2-3x-1) / (x-1)
x2+6x+3+2/(x-1)
The following is an example of which identity?
x2+10x+25=(x+5)2
Perfect Square Trinomials
Factor the polynomial to find the zeros.
x3+1=x2+x
x=-1,1
Use Synthetic Division to solve the following equation:
(x5+1) / (x+1)
x4-x3+x2-x+1
Use Long Division to solve the following equation:
(2x2+x-7) / (x-5)
2x+11+48/(x-5)
Factor the polynomial.
16x3-54y6
(2)(2x-3y2)(4x2+6xy2+9y4)