Polynomials
What are the degree and lead coefficient of
-5x^3 - 4x^2 + 3x -10
degree is 3 and lead coefficient is -5
Factor completely:
4x^2y^-2-8x^3y+12x^4y^3
4x^2y^-2(1-2xy^3+3x^2y^5
Is this statement true of false and why?
For all values of x:
(x-7)/(x-7) = 1
False, if x = 7 then
(x-7)/(x-7)!=1
When you add or subtract rational expressions you must have a ________________________.
Common denominator
Domain means:
All the input values that lead to valid output in a function.
Simplify:
-x^2 - 3x+10+(2x^2 -5x+4)
x^2 -8x+14
Factor completely:
18x^4 - 8y^6
2(3x^2+2y^3)(3x^2-2y^3)
Multiply and simplify:
x^2/(x^2-1)*(3x+3)/x^3
3/(x(x-1))
x != -1, 1, 0
If I want to add
6/(x^2-4)+12/(3x+6)
I must multiply the first fraction by _______________
And the second by ________________
3/3
(x-2)/(x-2)
Find the domain of
x^2 - 4x+5
(-oo, oo)
Simplify:
-x^2 - 3x+10-(2x^2 -5x+4)
-3x^2+2x+6
Factor completely:
54x^9-2y^15
2(3x^3 - y^5)(9x^6+3x^3y^5+y^10)
Multiply and simplify:
(x^2-36)/(2x-14)*(x^2-7x+7)/(12-2x)
- ((x+6)(x-1))/(4)
x!=6, 7
Add and simplify:
(2x)/(5x^2-45)+3/(5x+15)
(5x-9)/(5(x-3)(x+3))
x!=-3, 3
Find the domain of:
9/(3x+4)
(-oo, -4/3)uu(-4/3, oo)
Simplify:
-2x^2y(x^2y-4y+2xy^3)
-2x^4y^2+8x^2y^2-4x^3y^4
Factor completely:
x^2 - 5x - 14
(x-7)(x+2)
Divide and simplify:
(x^3-64)/(3-x)÷(x^2-3x-4)/(2x^2 -5x-3)
- ((x^2+4x+16)(2x+1))/(x+1)
x!=-1, 3, 4
(6x)/(x^3-8)-4/(3x-6)
(-4x^2+16x-4)/(3(x-2)(x^2+2x+4)
x!=2
What is the domain of
y=sqrt(3-2x)
(-oo, 3/2]
Simplify:
(-2x+3y)(5x-y)
-10x^2 +17xy-3y^2
Factor completely:
6x^2 -x-2
(3x-2)(2x+1)
Divide and Simplify:
(x^3-1)÷(2x-2)/x^3
(x^3(x^2+x+1))/2
x!=0, 1
Subtract and simplify:
4/(x^2-4x+4)-(2x+1)/(x^2-4)
- (2x-5)/((x-2)(x-2))
x!=-2, 2
y=(3x)/sqrt(4x-8
(2, oo)