University:
Glendale Community College
Course:
MAT092 | Beggining Algebra
Academic year:

2020
Views:

30

Pages:

3
Author:

Callum Brennan

MAT 090 Beginning Algebra NAME: KEY Test #7 State whether the following statements are TRUE or FALSE. No explanation is necessary. A) The trinomial 4x³y + 12xy + 9xy² is an example of a trinomial of degree 3. TRUE B) The binomial 8x³ + y³ is an example of the sum of cubes. FALSE C) A³ - B³ = (A - B)(A² + AB + B²) TRUE Given the polynomial x²y⁶ - 5x²y⁴ + 3x³y - 4x³y² + 20xy, answer the following: A) How many terms are in the polynomial? 5 B) What is the degree of the polynomial? 8 C) What is the leading coefficient? 3 D) What is the coefficient for the x²y term in the polynomial? NOT PRESENT Create ONE polynomial that could be called the "DIFFERENCE OF SQUARES" LOTS OF ANS. 4x² - 9 Create ONE polynomial that could be called the "SUM OF CUBES" LOTS OF ANS. 8x³ + 27 Perform the following ADDITIONS and SUBTRACTIONS: A) (3x² + 5xy + 2y²) - (4x² - xy + 3y²) 3x² + 5xy + 2y² - 4x² + xy - 3y² -x² + 6xy - y² B) (3x³ - 2x²y + 4xy²) + (3x²y + xy² - 2y³) 3x³ - 2x²y + 4xy² + 3x²y + xy² - 2y³ 3x³ + x²y + 5xy² - 2y³ 6. Perform the following MULTIPLICATIONS: A) (5x - 4y)(3x + 2y) 15x² + 10xy - 12xy - 8y² 15x² - 2xy - 8y² B) (3x - y)²(3x - y)²(3x - y)(3x - y) 9x² - 3xy - 3xy + y² 9x² - 6xy + y² C) (2x + 5y)(2x - 5y) 4x² - 25y² D) (3x + 2y)(9x² - 6xy + 4y²) (3x)³ + (2y)³ 27x³ + 8y³ 7. Perform the following DIVISIONS: A) (18x² + 24x - 12) ÷ (9x) 18x²/9x + 24x/9x - 12/9x 2x + 8/3 - 4/3x B) (4x² + 3x - 5) ÷ (x + 2) 4x + 5 + 5/(x + 2) 9. Find the polynomial that would model the area of the following: Area of shaded region? (10)(20) - (10 - 2x)(20 - 2x) 200 - (200 - 20x - 40x + 4x²) 200 - 200 + 20x + 40x - 4x² -4x² + 60x 10. Factor the following polynomials by using the GCF: A) 10x² - 25x 5x(2x - 5) B) 6x²y - 18x²y - 2xy 2xy(3x² - 9x - 1) 11. Factor the following polynomial by GROUPING: A) x² + 5x + 6x - 30 (x² + 5x) + (6x - 30) x(x + 5) + 6(x + 5) (x + 5)(x + 6) B) x³ - 2x² - 3x + 6 (x³ - 2x²) - (3x - 6) x²(x - 2) - 3(x - 2) (x - 2)(x² - 3) 12. Factor the following polynomials using our PATTERNS: A) 9x² - 1 (3x)² - (1)² (3x - 1)(3x + 1) B) 27x³ - 125 (3x)³ - (5)³ (3x - 5)(9x² + 15x + 25) EXTRA CREDIT: Completely Factor the polynomial: x⁶ - 64 (x³)³ - (2)³ (x³ - 2)(x³ + 2) (x - 2)(x² + 2x + 4)(x + 2)(x² - 2x + 4)