MATHEMATICS 10 SUMMATIVE TEST 4 (WEEK 8) DIRECTION: Let us determine how much you have learned from this module. Read and understand each item, then choose the letter of your answer and write it on your answer sheet. 1. What is the remainder if x2 - 7x - 4 is divided by x - 2? A) 4 B) -14 C) 2 D) -2 2. Which of the following statements is true? A) The quotient multiplied by the dividend plus the remainder equals the divisor. B) If x2 + 5x + 7 is divided by x + 2, the remainder is not 1. C) If the remainder is 0, then the dividend is a factor of the divisor. D) The quotient is a factor of the dividend if the remainder is 0. 3. Which is the remainder if 2x3 + 4x - x + 7 is divided by x - 2? A) 35 B) 36 C) 37 D) 38 4. Is x - 3 a factor of x4 + 3x3 - x + 3? A) false B) true C) uncertain D) invalid 5. Find another factor of x3 - 7x2 + 4x - 28 if x - 7 is a factor. A) x2 + x +4 B) x2 - 2x - 4 C) x2 - x -4 D) x2 + 4 6. Determine which of the following binomials is a factor of P(x) = x3 -7x + 5. A) x - 1 B) x +1 C) x + 2 D) none of these 7. Is the first polynomial a factor of the second polynomial, x - 1; x2 + 2x + 5? A) yes B) no C) uncertain D) invalid 8. Which is the missing factor in the equation x2 -4 = (x - 2) ( )? A) x - 2 B) x+ 2 C) x + 4 D) x - 4 9. Which of the following is a factor of x3+ 5x2 - x - 5? A) x+1 B) x +2 C) x - 5 D) none of these 10. What are the factors of x2 - 2x - 24? A) (x + 4) (x -6) B) (x -8) (x + 3) C) (x -12) (x+ 1) D) (x + 12) (x - 12) 1 1. What is the remainder when x3 - 4x2 + x + 8 is divided by x - 2? A) 1 B) 2 C) 3 D) 4 12. When P(x) is divided by x - r and the remainder is equal to 0, it means A) x - r is a factor of P(x) C) P(x) is a factor x -r B) P(x) is the only factor of x - r D.) x- r is the only factor of P(x)13. Evaluate the polynomial x3 + x2 + x + 3 at the given value of x = -2 A) 3 B) -3 C) 17 D) -17 14. Which polynomial gives a remainder of zero when divided by 3x - 2? A) 12x2 + 15x - 18 C) 12x2 + 19x - 18 B) 12x3 + 18x + 7 D) 12x2 + 8x + 7 15. Which of the following is a factor of 2x2 - 5x + 3? A) x - 3 B) 2x + 3 C) x - 1 D) 3x + 2 16. What is the remainder if x2 - 7x - 4 is divided by x - 2? A) -14 B) 5 C) 6 D) 7 17. Which statement is true? A) The quotient multiplied by the dividend plus the remainder equals the divisor. B) If x2 + 5x + 7 is divided by x + 2, the remainder is 1. C) If the remainder is 0, then the dividend is a factor of the divisor. D) The remainder is a factor of the dividend if the quotient is 0. 18. Which is the remainder if 2x3 - 7x2 - 19x + 20 is divided by x - 5? A) -1 B) O C) 1 D) 2 19. x - 3 is a factor of x4 - 3x3 - x +3. A) false B) true C) uncertain D) invalid 20. Find another factor of x3- 7x2 + 4x - 28 if x - 7 is a factor. A) x2 +x +4 B) x2 - 2x - 4 C) x- - x -4 D) x2 +4