1. Factor by common factoring, including the GCF: 8x*y* – 12x*y GCF . 2. Factor the following difference of squares: r- 121 = (, 3. Factor the following perfect square trinomials: a) b + 106 + 25 = (. b) 4m² – 28m + 49 =( _
1. Factor by common factoring, including the GCF: 8x*y* – 12x*y GCF . 2. Factor the following difference of squares: r- 121 = (, 3. Factor the following perfect square trinomials: a) b + 106 + 25 = (. b) 4m² – 28m + 49 =( _
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![7. For the quadratic function f(x) = -2(x + 7)? + 10,
4. Complete the following table:
1. Does the set of data shown in the mapping diagram represent a function?
a) State the coordinates of the vertex:
Function
Linear or Quadratic?
Circle one: YES
or
NO
a)
f(x) = -5x – 6
Input
Output
b) State the direction of opening (up or down):
b)
g(x) = 2x2 + 3x – 9
+20
4
+ 30
c) State the equation of the axis of symmetry:
3
40
d) State the first three terms in the step pattern:
5. Calculate the first and second differences (if necessary) to determine if the following function
is linear, quadratic, or neither:
2. State the domain and range for the following function:
e) Graph the function (including as many points as possible):
y
First Differences
Second Differences
-4
-8
12
-3
-5
11
10
-2
-1
16
Domain:
Range:
3. State the value of f (3) given the following functions:
The function is
(linear, quadratic, or neither).
-12 -11 -10 -9 -8 -7 -6 -5 -4
8 9 10 11 12
f (3) =
4 5
а) f %3D{(1,-5), (2, -7), (3, —9), (4, -11)}
6. Given f(x) = 4x² – 2x + 7, evaluate the following (and simplify where necessary):
b)
a) f(3)
b) f(6a)
(0, 6)
T(4, 6)
-1
T(3, 0)
(1, 0)
(2, -2)
f(3) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd672829b-f6c8-47b6-8835-d8cd4f1626a8%2F769db656-7d48-46c2-8577-a2e5baffd7aa%2Fym56hz_processed.png&w=3840&q=75)
Transcribed Image Text:7. For the quadratic function f(x) = -2(x + 7)? + 10,
4. Complete the following table:
1. Does the set of data shown in the mapping diagram represent a function?
a) State the coordinates of the vertex:
Function
Linear or Quadratic?
Circle one: YES
or
NO
a)
f(x) = -5x – 6
Input
Output
b) State the direction of opening (up or down):
b)
g(x) = 2x2 + 3x – 9
+20
4
+ 30
c) State the equation of the axis of symmetry:
3
40
d) State the first three terms in the step pattern:
5. Calculate the first and second differences (if necessary) to determine if the following function
is linear, quadratic, or neither:
2. State the domain and range for the following function:
e) Graph the function (including as many points as possible):
y
First Differences
Second Differences
-4
-8
12
-3
-5
11
10
-2
-1
16
Domain:
Range:
3. State the value of f (3) given the following functions:
The function is
(linear, quadratic, or neither).
-12 -11 -10 -9 -8 -7 -6 -5 -4
8 9 10 11 12
f (3) =
4 5
а) f %3D{(1,-5), (2, -7), (3, —9), (4, -11)}
6. Given f(x) = 4x² – 2x + 7, evaluate the following (and simplify where necessary):
b)
a) f(3)
b) f(6a)
(0, 6)
T(4, 6)
-1
T(3, 0)
(1, 0)
(2, -2)
f(3) =
![6. Factor the trinomial. Determine the Product value (P), the Sum value (S), the pair of
1. Factor by common factoring, including the GCF:
numbers, and all steps for factoring trinomials of this type.
8x?y6 – 12x*y3
GCF:
P =
2y? + 13y + 15
S =
2. Factor the following difference of squares:
x - 121 = (
)(
3. Factor the following perfect square trinomials:
a) b? + 10b + 25 = (
b) 4m2 – 28m + 49 = (
7. Factor completely the difference of squares. State the GCF first, then show the correct
4. Expand and simplify using FOIL:
factors.
(2х — 9)(3х — 4)
2m? – 32
GCF:
5. Factor the trinomial. Determine the Product value (P), the Sum value (S), and show your
pair of numbers as well:
P =
x² – 10x + 24
S =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd672829b-f6c8-47b6-8835-d8cd4f1626a8%2F769db656-7d48-46c2-8577-a2e5baffd7aa%2F5mvggo9_processed.png&w=3840&q=75)
Transcribed Image Text:6. Factor the trinomial. Determine the Product value (P), the Sum value (S), the pair of
1. Factor by common factoring, including the GCF:
numbers, and all steps for factoring trinomials of this type.
8x?y6 – 12x*y3
GCF:
P =
2y? + 13y + 15
S =
2. Factor the following difference of squares:
x - 121 = (
)(
3. Factor the following perfect square trinomials:
a) b? + 10b + 25 = (
b) 4m2 – 28m + 49 = (
7. Factor completely the difference of squares. State the GCF first, then show the correct
4. Expand and simplify using FOIL:
factors.
(2х — 9)(3х — 4)
2m? – 32
GCF:
5. Factor the trinomial. Determine the Product value (P), the Sum value (S), and show your
pair of numbers as well:
P =
x² – 10x + 24
S =
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