MAC 1105 Final with
complete verified
solutions
R.4 What is FOIL - answer First, Outer, Inner, Last
R.5 For x^2 +Bx+C = (x+a)(x+b) - answer ab=C and
a+b=B
R.5 Difference of squares - answer x² - y² = (x + y)(x - y)
R.5 How to factor? - answer 1. ab=C
2. a+b=Bx
3. (x+a)(x+b)
4. solve for a and b that will satisfy both equations
R.5 How to factor by grouping? - answer 1. x^2 + Bx + C
2. x^2 + ax + bx + C
3. (x^2 + ax)+(bx+C)
4. factor and simplify
R.5 What are the two steps to figure out if something is
factorable? - answer Can it be factored normally?
, Can it be factored by grouping?
R.7 How do you reduce a rational expression in lowest
terms? - answer 1. factor numerator and denominator to
lowest terms
2. remove common factors
R.7 add powers when ________ exponents - answer
MULITPLYING
R.7 Before adding or subtracting rational expressions with
different denominators, find the LCM of the denominators.
To find the LCM, first ________ the denominators. - answer
factor. then proceed the operation of division
R.8 a^1/2
a^1/5 - answer square root of a
5 root of a
R.8 -4^2 . 4^2 - answer -16, 16
R.8 Radicals that have the same _______ and the same
_______ are called like radicals. - answer idex, radicand
complete verified
solutions
R.4 What is FOIL - answer First, Outer, Inner, Last
R.5 For x^2 +Bx+C = (x+a)(x+b) - answer ab=C and
a+b=B
R.5 Difference of squares - answer x² - y² = (x + y)(x - y)
R.5 How to factor? - answer 1. ab=C
2. a+b=Bx
3. (x+a)(x+b)
4. solve for a and b that will satisfy both equations
R.5 How to factor by grouping? - answer 1. x^2 + Bx + C
2. x^2 + ax + bx + C
3. (x^2 + ax)+(bx+C)
4. factor and simplify
R.5 What are the two steps to figure out if something is
factorable? - answer Can it be factored normally?
, Can it be factored by grouping?
R.7 How do you reduce a rational expression in lowest
terms? - answer 1. factor numerator and denominator to
lowest terms
2. remove common factors
R.7 add powers when ________ exponents - answer
MULITPLYING
R.7 Before adding or subtracting rational expressions with
different denominators, find the LCM of the denominators.
To find the LCM, first ________ the denominators. - answer
factor. then proceed the operation of division
R.8 a^1/2
a^1/5 - answer square root of a
5 root of a
R.8 -4^2 . 4^2 - answer -16, 16
R.8 Radicals that have the same _______ and the same
_______ are called like radicals. - answer idex, radicand
