Mathematics-8 I. Multiple Choice Directions: Choose the letter of the best answer and write your cnswer on the space provided before each number 1. Which of the following shows factoring of polynomials with difference of two squares A4a-b'= (2a+b)(2a-b) C. 25m +15m = 5m² (5m +3m) B. x-2xy+y = (x-y) (x-Y) D. XP-X-2 = (x-2)(x+1) 2. Find the factored form of x2 + 11x + 30. A. (x+6)(x-5) B. (x+6)(x+5) C. (x+10)(x+3) D. (x-10) (x-3) 3. Factor completely 3m +24n. A 31m-2n) (m²-2mn+4n") C.31m+2n}(m-2mn-4n?) B. 31m+2n) (m²-2mn+4n?) D. 31m+2n)(m+2mn+4n?) 4. What is the factored form of x2-12x+362 A. (x-6)(x-6) B. (X-9)(x-4) C. (x+6) (X+6) D. (x+9)(x+4) 5. In the solution, 3b + 9 = 3(b + 3). What should be done to make it CORRECT? A. Change the common monomial factor of the given. B. The second term of the binomial factor should be 3c instead of 3. C. The first term of the binomial factor should be 3b instead of b. D. Change the sign of the second factor. 6. Which of the following is the factor of 2x² - 6x - 89 A. 2(x+4)(x+1) B. 2x-4)(x-1) C. 2(x+4)(x-1) D. 21x-4)(x+1) 7. The square of a number increased by twice a number equals 15. Find the number A. 2 B. 3 C. 4 D. 5 8. If the area of a square is given by the polynomial x? - 20% - 100. what is the dimension of it in terms of x? A X-50 B. X-20 C.5 D.X-10 9. What do you call an expression that is a quotient of two algebraic expressions where both numerator and denominator are polynomials and the denominator is not equal to zero? A. Algebraic expression C. Rational Algebraic Expression B. Rational Algebraic Equation D. Rational Number