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Fact or Fake? Write fact if the statement is correct and fake if the statement is wrong. 1) When factoring, always look for the common factor. 2) x² – 6x + 9 = (x – 3)² 3) x² + x – 12 = (x – 4)(x + 3) -

Fact or Fake? Write fact if the statement is correct and fake if the statement is wrong. 1) When factoring, always look for the common factor. 2) x² – 6x + 9 = (x – 3)² 3) x² + x – 12 = (x – 4)(x + 3) -

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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Fact or Fake? Write fact if the statement is correct and fake if the statement is wrong. 1) When factoring, always look for the common factor. 2) х? — 6х + 9 %3D (х — 3)2 3) x² + x – 12 = (x – 4)(x + 3) Fo Let's Apply (Exercises) Determine whether each polynomial is prime or not. If not determine whether it is a difference of two squares (DOTS), difference of two cubes (DOTC), sum of two cubes (SOTC), perfect square trinomial (PST) or a general quadratic trinomial (GQT). 1) x? – 49 2) 9y? + 4 5) 16у? - 8y +1 3) 2x² + 9x + 4 4) 6x² + x +1 Let's Analyze (Enrichment Exercises) A. Factor each polynomial completely. 1) x³ – 81x 2) x²y? – 2x²y – 15x² B. Solve each of the following. A 1) Find the value of 61? – 59² using difference of two squares. 2) If the sum of two numbers is 45 and their difference is 12, what is the difference of their squares? 3) Factor x? – 4y2 – 20y – 25 completely. (Clue: Group the last 3 terms together being careful with the signs.) 16х - 49у2 4) 3x³ – 81x² 3) 5) 9x²y² – 9y² AM Let's Try (Evaluation) Encircle the letter of the best answer. 1) Which of the following expressions is the difference of two terms? A. x? – 2y? 2) Which of the following is a perfect square trinomial? A. x? + 2x + 9 B. x? + 6x – 9 3) Which trinomial is a factor of x³ – 8? А. х2 — 2х + 4 B. x - y3 C. x² – 8 D. x? – 16 С. x2 — 6х — 9 D. x2 – 6x + 9 B. x2 + 4x + 4 C. x² + 2x + 4 D. x2 – 4x + 4 4) Which of the following is a factor of 2x? – 7x – 9? В. х — 1 5) The area of a square is (4x² + 20x + 25) sq.cm. Its side is В. 2х — 5 А. 2х + 9 C. 2x – 9 D. x – 3 A. 2x + 5 C. x + 5 D. x – 5
Transcribed Image Text:Fact or Fake? Write fact if the statement is correct and fake if the statement is wrong. 1) When factoring, always look for the common factor. 2) х? — 6х + 9 %3D (х — 3)2 3) x² + x – 12 = (x – 4)(x + 3) Fo Let's Apply (Exercises) Determine whether each polynomial is prime or not. If not determine whether it is a difference of two squares (DOTS), difference of two cubes (DOTC), sum of two cubes (SOTC), perfect square trinomial (PST) or a general quadratic trinomial (GQT). 1) x? – 49 2) 9y? + 4 5) 16у? - 8y +1 3) 2x² + 9x + 4 4) 6x² + x +1 Let's Analyze (Enrichment Exercises) A. Factor each polynomial completely. 1) x³ – 81x 2) x²y? – 2x²y – 15x² B. Solve each of the following. A 1) Find the value of 61? – 59² using difference of two squares. 2) If the sum of two numbers is 45 and their difference is 12, what is the difference of their squares? 3) Factor x? – 4y2 – 20y – 25 completely. (Clue: Group the last 3 terms together being careful with the signs.) 16х - 49у2 4) 3x³ – 81x² 3) 5) 9x²y² – 9y² AM Let's Try (Evaluation) Encircle the letter of the best answer. 1) Which of the following expressions is the difference of two terms? A. x? – 2y? 2) Which of the following is a perfect square trinomial? A. x? + 2x + 9 B. x? + 6x – 9 3) Which trinomial is a factor of x³ – 8? А. х2 — 2х + 4 B. x - y3 C. x² – 8 D. x? – 16 С. x2 — 6х — 9 D. x2 – 6x + 9 B. x2 + 4x + 4 C. x² + 2x + 4 D. x2 – 4x + 4 4) Which of the following is a factor of 2x? – 7x – 9? В. х — 1 5) The area of a square is (4x² + 20x + 25) sq.cm. Its side is В. 2х — 5 А. 2х + 9 C. 2x – 9 D. x – 3 A. 2x + 5 C. x + 5 D. x – 5
NA |Let's Analyze (Enrichment Exercises) actor each polynomial completely. 1) x3 + 27 2) 8x³ – 125 5) x³ + (y + 3)³ 3) x³y6 + 512 4) u³ + 125v³ | Write the appropriate to each of the following questions. 1) How do you recognize if a polynomial is a sum of two cubes? difference of two cubes? 2) Explain why a 2 + ab + b 2 and a 2 - ab + b 2 are prime polynomials. Let's Recall E. Give the product. 1) (x + 3)(x + 4) 2) (x + 7)(x – 2) 3) (3х — 5)(2х — 3) Let's Analyze (Enri.:mant - Factor each trinomial complateiy. 1) x² – 7x + 12 2) x² – x – 30 5) 6x² + 5x – 6 3) x² + 2x – 99 4) 3x2 — 8х + 4 RANQU Additional Activities (J...~-IThink.. Factor completely. Show the solution. 1) (x – 2)? – 7(x - 2) + 12 (Clue: Let y = x – 2) 2) 3(b? + 5b) + 12 (Clue: Factor first the common factor) Let's Try. (-…. Encircle the tetter of the 1) Find the missing value such that x + 4 is a factor of x² + 12x + А. 4 В. 8 С. 12 D. 32 2) Factor 3x? + 7x – 20 completely. A. (3x + 5)(x – 4) B. (3x – 5)(x + 4) C. (3x + 4)(x –- 5) D. (3x – 4)(x + 5) 3) The GCF in 12x + 8 is В. 4 С. 6 D. 8 A. 2 4) Which of the following are the factors of 6x² + x – 12? A. (2x – 3)(3x + 4) B. (2x + 3)(3x – 4) C. (x – 12)(6x + 1) D. (x + 2)(6x – 1) 5) Which of the following are the factors of x² + x – 42? A. (x – 7)(x + 6) В. (х — 7)(х — 6) C. (x + 7)(x + 6) D. (x + 7)(x – 6) QUE
Transcribed Image Text:NA |Let's Analyze (Enrichment Exercises) actor each polynomial completely. 1) x3 + 27 2) 8x³ – 125 5) x³ + (y + 3)³ 3) x³y6 + 512 4) u³ + 125v³ | Write the appropriate to each of the following questions. 1) How do you recognize if a polynomial is a sum of two cubes? difference of two cubes? 2) Explain why a 2 + ab + b 2 and a 2 - ab + b 2 are prime polynomials. Let's Recall E. Give the product. 1) (x + 3)(x + 4) 2) (x + 7)(x – 2) 3) (3х — 5)(2х — 3) Let's Analyze (Enri.:mant - Factor each trinomial complateiy. 1) x² – 7x + 12 2) x² – x – 30 5) 6x² + 5x – 6 3) x² + 2x – 99 4) 3x2 — 8х + 4 RANQU Additional Activities (J...~-IThink.. Factor completely. Show the solution. 1) (x – 2)? – 7(x - 2) + 12 (Clue: Let y = x – 2) 2) 3(b? + 5b) + 12 (Clue: Factor first the common factor) Let's Try. (-…. Encircle the tetter of the 1) Find the missing value such that x + 4 is a factor of x² + 12x + А. 4 В. 8 С. 12 D. 32 2) Factor 3x? + 7x – 20 completely. A. (3x + 5)(x – 4) B. (3x – 5)(x + 4) C. (3x + 4)(x –- 5) D. (3x – 4)(x + 5) 3) The GCF in 12x + 8 is В. 4 С. 6 D. 8 A. 2 4) Which of the following are the factors of 6x² + x – 12? A. (2x – 3)(3x + 4) B. (2x + 3)(3x – 4) C. (x – 12)(6x + 1) D. (x + 2)(6x – 1) 5) Which of the following are the factors of x² + x – 42? A. (x – 7)(x + 6) В. (х — 7)(х — 6) C. (x + 7)(x + 6) D. (x + 7)(x – 6) QUE
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