Math 2 Flashcards

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1
Q

Identical equation

A
  • 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
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2
Q

algebraic equation

A
  • has a set solution as apposed to an identical equation

- 10x+5=15

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3
Q

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?

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

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?

A

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

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5
Q

synthetic division with (x-1)

A

use 1

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6
Q

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

A

help

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