Math 2

Question 1

Identical equation

Answer 1

• an equation which is true for all values of the variable
• 10x+5x=15x
• has infinitely many solutions
• the expression of both sides are exactly the same

Question 2

algebraic equation

Answer 2

• has a set solution as apposed to an identical equation

- 10x+5=15

Question 3

if a(x+1)+b(x+1)=x+9 is true for all real values of x, what are the values of a and b?

Answer 3

• coefficients must be equal
• factor and simplify
• a+b=1 and a-b=1
• a=5, b=-4

Question 4

If x^2+2x+6=a(x-1)^2+b(x+1)+c is true for all real x, where a, b, and c are constants, what are the values of a,b and c?

Answer 4

since x^2+2x+6=ax^2+(b-2a)x+a+b+c, then a=1, b-2a=2, and a+b+c=6

Question 5

synthetic division with (x-1)

Answer 5

use 1

Question 6

divided by (x-1)(x-2)

Answer 6

help