MATH 110
Circle - ANS-A = πr²
C = πd or 2πr
Cube of Binomials or Perfect Cubes - ANS-(x-a)³ = x³ - 3ax² + 3a²x - a³
Difference of 2 cubes - ANS-x³ - a³ = (x-a) (x² + ax + a²)
Divide fractions - ANS-a/b ÷ c/d = a/b · d/c
Factoring - Ex: 16x² - eighty one - ANS-See if the terms proportion a not unusual monomial
element
Check if the polynomail is a unique product
- rewrite as x² - a²
If unique then
x² - a² = (x-a)(x+a)
Factoring Polynomials while the L. Coefficient ≠ 1 - ANS-Find 2 #s that multiply to identical the
primary and ultimate term and whilst brought same the center time period. Then write these #s
into the equation.
Ex → 9x² + 15x + 4 → 9x² + 12x + 3x +four
Then issue through grouping. → 3x (3x +four) + 1(3x+four)
Factoring Standard Polynomial - ANS-Factor the trinomial into 2 binomial elements of the shape
(x+a)(x+b)
Look for 2 integers whose product is the final term and whose sum is the second time period
Find the distance among 2 pts. On # line - ANS-Take absolutely the price of the distinction
among the 2
Law of Exponents - ANS-(a×)ⁿ = a×·ⁿ
(a · b)ⁿ = aⁿ · bⁿ
(aⁿb*)^ = aⁿ^b*^
xⁿx* = xⁿ⁺*
xⁿyⁿ = (xy)ⁿ
xⁿ/x* = xⁿ⁻*
xⁿ/yⁿ = (x/y)ⁿ
x⁰ = 1
a⁰ = 1 if a ≠ 0
When multiplying exponents, you upload them.
Circle - ANS-A = πr²
C = πd or 2πr
Cube of Binomials or Perfect Cubes - ANS-(x-a)³ = x³ - 3ax² + 3a²x - a³
Difference of 2 cubes - ANS-x³ - a³ = (x-a) (x² + ax + a²)
Divide fractions - ANS-a/b ÷ c/d = a/b · d/c
Factoring - Ex: 16x² - eighty one - ANS-See if the terms proportion a not unusual monomial
element
Check if the polynomail is a unique product
- rewrite as x² - a²
If unique then
x² - a² = (x-a)(x+a)
Factoring Polynomials while the L. Coefficient ≠ 1 - ANS-Find 2 #s that multiply to identical the
primary and ultimate term and whilst brought same the center time period. Then write these #s
into the equation.
Ex → 9x² + 15x + 4 → 9x² + 12x + 3x +four
Then issue through grouping. → 3x (3x +four) + 1(3x+four)
Factoring Standard Polynomial - ANS-Factor the trinomial into 2 binomial elements of the shape
(x+a)(x+b)
Look for 2 integers whose product is the final term and whose sum is the second time period
Find the distance among 2 pts. On # line - ANS-Take absolutely the price of the distinction
among the 2
Law of Exponents - ANS-(a×)ⁿ = a×·ⁿ
(a · b)ⁿ = aⁿ · bⁿ
(aⁿb*)^ = aⁿ^b*^
xⁿx* = xⁿ⁺*
xⁿyⁿ = (xy)ⁿ
xⁿ/x* = xⁿ⁻*
xⁿ/yⁿ = (x/y)ⁿ
x⁰ = 1
a⁰ = 1 if a ≠ 0
When multiplying exponents, you upload them.
