Question 1
quadratic polynomial formula (239)
CORRECT ANSWER
ax^2 +bx + c
Question 2
Factoring quadratic equation when the leading coefficient isn't 1 and you cant factor out
the leading coeficient (240)
CORRECT ANSWER
pick up the coefficient and move it to the constant c. factor, then replace x with the
number that was in original equation.
ex. 4x^2 + 5x - 6,
becomes x^2 + 5x - 6(4)
x^2 + 5x - 24 factor this normally
replace x in (x+8)(x-3) with 4x.
factor out the GCF from the first term. keep second term SAME.
(4x+8)(4x-3)
4(x+2)(4x-3)
drop the gcf that was factored out. just remove it.
= (x+2)(4x-3)
1
@THE STUDY VAULT
,Question 3
when the leading coefficient isn't 1 in a quadratic equation (241)
CORRECT ANSWER
factor first
then WITHIN the parentheses
pick up the coefficient and move it to the constant c. factor, then replace x with the
number that was in original equation. ex. x becomes 4x
from the first set of parentheses factor out that first number. keep second parentheses
same.
remove that number that was factored out of the first parentheses. just remove it, no
dividing or something.
Question 4
Difference of Squares Formula (242)
CORRECT ANSWER
a^2-b^2=(a+b)(a-b). (can use even when leading coefficient is not 1)
Question 5
sum of cubes formula
CORRECT ANSWER
a^3 + b^3 = (a+b)(a^2 - ab + b^2)
2
@THE STUDY VAULT
,Question 6
difference of cubes formula
CORRECT ANSWER
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Question 7
cubic polynomial formula
CORRECT ANSWER
ax^3 + bx^2 +cx +d
Question 8
"cancelling" is a short way of sqying
CORRECT ANSWER
cancelling out common factors
Question 9
Function Notation
What does f(x) mean?
CORRECT ANSWER
Just plug in the number
Question 10
notation for combined functions formula addition
3
@THE STUDY VAULT
, CORRECT ANSWER
(f+g)(x) = f(x) + g(x)
Question 11
notation for combined functions formula subtraction
CORRECT ANSWER
(f-g)(x) = f(x) - g(x)
Question 12
notation for combined functions formula multiplication
CORRECT ANSWER
(fg)(x) = f(x)g(x)
Question 13
notation for combined functions formula division/fraction
CORRECT ANSWER
(f/g)(x) = f(x)/g(x)
Question 14
notation for composite functions formula
(250)
CORRECT ANSWER
(f*g)(x) = f(g(x))
4
@THE STUDY VAULT
quadratic polynomial formula (239)
CORRECT ANSWER
ax^2 +bx + c
Question 2
Factoring quadratic equation when the leading coefficient isn't 1 and you cant factor out
the leading coeficient (240)
CORRECT ANSWER
pick up the coefficient and move it to the constant c. factor, then replace x with the
number that was in original equation.
ex. 4x^2 + 5x - 6,
becomes x^2 + 5x - 6(4)
x^2 + 5x - 24 factor this normally
replace x in (x+8)(x-3) with 4x.
factor out the GCF from the first term. keep second term SAME.
(4x+8)(4x-3)
4(x+2)(4x-3)
drop the gcf that was factored out. just remove it.
= (x+2)(4x-3)
1
@THE STUDY VAULT
,Question 3
when the leading coefficient isn't 1 in a quadratic equation (241)
CORRECT ANSWER
factor first
then WITHIN the parentheses
pick up the coefficient and move it to the constant c. factor, then replace x with the
number that was in original equation. ex. x becomes 4x
from the first set of parentheses factor out that first number. keep second parentheses
same.
remove that number that was factored out of the first parentheses. just remove it, no
dividing or something.
Question 4
Difference of Squares Formula (242)
CORRECT ANSWER
a^2-b^2=(a+b)(a-b). (can use even when leading coefficient is not 1)
Question 5
sum of cubes formula
CORRECT ANSWER
a^3 + b^3 = (a+b)(a^2 - ab + b^2)
2
@THE STUDY VAULT
,Question 6
difference of cubes formula
CORRECT ANSWER
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Question 7
cubic polynomial formula
CORRECT ANSWER
ax^3 + bx^2 +cx +d
Question 8
"cancelling" is a short way of sqying
CORRECT ANSWER
cancelling out common factors
Question 9
Function Notation
What does f(x) mean?
CORRECT ANSWER
Just plug in the number
Question 10
notation for combined functions formula addition
3
@THE STUDY VAULT
, CORRECT ANSWER
(f+g)(x) = f(x) + g(x)
Question 11
notation for combined functions formula subtraction
CORRECT ANSWER
(f-g)(x) = f(x) - g(x)
Question 12
notation for combined functions formula multiplication
CORRECT ANSWER
(fg)(x) = f(x)g(x)
Question 13
notation for combined functions formula division/fraction
CORRECT ANSWER
(f/g)(x) = f(x)/g(x)
Question 14
notation for composite functions formula
(250)
CORRECT ANSWER
(f*g)(x) = f(g(x))
4
@THE STUDY VAULT
