Choose the letter of your answer. If your answer is not among the choices write E.1. What is the GCF of 2x²-4x-6x² = 2x(x-2-3x²)?a) 2xb)(x-2-3x²)c)-4xd)2x(x-2-3x²)2. Which of the following is equivalent to 18x + 12y?a) 4(5x+3y)b)2(9x+8y) c)3(6x+5y) d)6(3x+2y)3. Which of the following is equivalent to the equation x + 5 = (x+3)²?a)(x+1)(x+4)=0 b)(x-1)(x+4)=0 c)(x+1)(x+4)=5 d)(x+1)(x+4)=34. Which of the following is a quadratic expression with a > 1?a)x² +3x-55. Which of the following is a quadratic expression where a =1?a) 4x²-7x-86. Factor x3 -8.b) -x²-2x-1b) x²-5x-280c)3x²-x-2c) 4x²-9d) 5x² +25d) 9x² + x - 10a)(x+2)(x²-2x+4) b)(x-2)(x²+2x+4)c)(x-5)(3x+1) d)(3x-5)(x+1)7. Factor x3 +27 completely.a)(x+3)(x²-3x+9)b)(x+3)(x²-3x+18)c)(x+3)(x²-3x-9)d)(x+5)(x-3)8. Which of the following is a quadratic expression with a=1?a) a² -3x-2 b)2x²+4x-5c) - x²+4x+89. Which of the following will complete the statement below?If the product is positive, then m and n have.a) Opposite signsb) Both negative signsc) Both positive signsd) Both negative or both positive signsd)2x² -2x+710. Given the expression below, what is the sum and product of m and n?a) Sum: +12Product: -7b) sum:-12product: +12x²-7x+12c)sum:-7product:+12d) sum: 7product: -12​

here's the answer and solutions: 1. What is the GCF of 2x²-4x-6x² = 2x(x-2-3x²)? - Understanding GCF: The Greatest Common Factor (GCF) is the largest factor that divides into all the terms of an expression.- Analyzing the Expression: The expression is already factored, and the common factor is 2x.- Answer: The correct answer is a) 2x.2. Which of the following is equivalent to 18x + 12y? - Factoring Out the GCF: The GCF of 18x and 12y is 6.- Factoring: 18x + 12y = 6(3x + 2y)- Answer: The correct answer is d) 6(3x+2y).3. Which of the following is equivalent to the equation x + 5 = (x+3)²? - Expanding the Square: (x+3)² = x² + 6x + 9- Rearranging the Equation: x² + 5x + 4 = 0- Factoring: (x+1)(x+4) = 0- Answer: The correct answer is a)(x+1)(x+4)=0.4. Which of the following is a quadratic expression with a > 1? - Understanding Quadratic Expressions: A quadratic expression is in the form ax² + bx + c, where 'a' is the coefficient of the x² term.- Analyzing the Choices:- a) x² +3x-5 (a = 1)- b) -x²-2x-1 (a = -1)- c) 3x²-x-2 (a = 3)- d) 5x² +25 (a = 5)- Answer: The correct answer is c) 3x²-x-2.5. Which of the following is a quadratic expression where a =1? - Understanding Quadratic Expressions: A quadratic expression is in the form ax² + bx + c, where 'a' is the coefficient of the x² term.- Analyzing the Choices:- a) 4x²-7x-8 (a = 4)- b) x²-5x-280 (a = 1)- c) 4x²-9 (This is a difference of squares, not a standard quadratic)- d) 9x² + x - 10 (a = 9)- Answer: The correct answer is b) x²-5x-280.6. Factor x3 -8. - Recognizing the Pattern: This is a difference of cubes (a³ - b³ = (a - b)(a² + ab + b²))- Factoring: x³ - 8 = (x - 2)(x² + 2x + 4)- Answer: The correct answer is b)(x-2)(x²+2x+4).7. Factor x3 +27 completely. - Recognizing the Pattern: This is a sum of cubes (a³ + b³ = (a + b)(a² - ab + b²))- Factoring: x³ + 27 = (x + 3)(x² - 3x + 9)- Answer: The correct answer is a)(x+3)(x²-3x+9).8. Which of the following is a quadratic expression with a=1? - Understanding Quadratic Expressions: A quadratic expression is in the form ax² + bx + c, where 'a' is the coefficient of the x² term.- Analyzing the Choices:- a) a² -3x-2 (This is not a quadratic expression)- b) 2x²+4x-5 (a = 2)- c) - x²+4x+8 (a = -1)- d) 2x² -2x+7 (a = 2)- Answer: E. None of the above9. Which of the following will complete the statement below? If the product is positive, then m and n have... - Understanding Signs: The product of two numbers is positive if both numbers are positive or both numbers are negative.- Answer: The correct answer is d) Both negative or both positive signs.10. Given the expression below, what is the sum and product of m and n? x²-7x+12 - Factoring the Quadratic: x² - 7x + 12 = (x - 3)(x - 4)- Sum and Product:- Sum: -3 + (-4) = -7- Product: (-3) * (-4) = 12- Answer: The correct answer is c) sum:-7 product:+12.follow for more!#keeplearning#staysafe

Answered by fernandezhanzo57 | 2024-09-04