1st GRADING EXAMINATION (MATH 10)

___18. What is the name of this polynomial x4 + 7x5 - 12x + 18? A. Linear B. Quadratic C. Quartic D. Quintic ___19. What is the remainder when x5 + 3x4 - x + 5 is divided by x -3? A. 448 B. 488 C. 483 D. 438 4 3 2 ___20. Which of the following is a factor of 9x + 26x + 7x -5x + 5? A. x + 1 B. x + 5 C. x – 5 D. 2x - 5 II. Write TRUE if the statement is correct and FALSE if not. _______1. The three dots (…) means the sequence is continuous. _______2. An arithmetic sequence has a common ratio. _______3. A number a 0 is the constant of the polynomial function and its degree is zero. _______4. A function is not a polynomial function if a variable is inside a radical. _______5. The quotient of polynomials is found by using the distributive property of multiplication over addition. III. Write the next three terms of the sequence. 1. 54, 42, 30, __, __, __ 4. 0, -4, -8, -12, __, __ , _ 2. 8, 13, 21, __, __ __ 5. 2/7, 2/11, 2/15, 2/19, __, __, __ 3. 14, 25, 36, 47, __, __, __ IV. Tell whether the sequence is arithmetic, geometric, harmonic, or fibonacci. 1. First term = 3, Common Difference = 5 4. 3/5, 3/10, 1/5, 3/20, 3/25 2. First term = 6, Common Ratio = 7 5. 10, 20, 30, 40, 50 3. 89, 144, 233, 377 V. Determine whether the polynomial is linear, quadratic, cubic, quartic, or quintic. 1. x2 + 5x - 60 4. x=0 4 3 2 2. 2x + x + 2x 5. 14x3 +7x 2+ 5 3. x3(x2 +3) VI. Perform the indicated operations. 4 3 3 2 2 f (x )=6 x +7 x +41 x−12 g( x )=9 x +15 x +21 x−20 i(x )=x −30 x +225 h( x)=x−15 1. f (x )+g ( x ) 2. f (x )+i( x) 3. f (x )−g( x) 4. f (x )⋅g( x ) i( x) 5. h( x)