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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)
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) =
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 =
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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