Math 10 S3 and S4 Removal

Find the zeros of y = x (x + 5)(x – 2) (x-4) 

• -1, -5, 3, 4
• [0, -5, 2, 4]
• 0, -4, 2, 5
• 1, -5, 2, 3

A polynomial has degree 4. Which of the following is NOT a possible combination for its roots?

• 2 roots (e.g., 1, 1)
• 5 roots (e.g., 1, 1, 1, 1, 1) is NOT a possible combination.
• 3 roots (e.g., 1, 1, 1)
• 6 roots (e.g., 1, 1, 1, 1, 1, 1)

Suppose that when a polynomial p(x) is divided by x – 5, the quotient is 3x4 – 5x2 + 2x – 5 with the remainder of 4. We may conclude that

• x – 4 is a factor of p, and 4 is a zero of p.

       

        

          

•      B.x + 5 is not a factor of p, and – 5 is not a zero of p.

•     x – 5 is a factor of p, and 5 is a zero of p.

•   x – 5 is not a factor of p, and 5 is not a zero of p.

Find the zeros of f(x) = (x + 2)8 (x - 3)4 and state the multiplicity.

• Zeros: x = -2 (multiplicity 8), x = 3 (multiplicity 4)
• Zeros: x = 0 (multiplicity 1), x = 5 (multiplicity 5)
• Zeros: x = -2 (multiplicity 4), x = 3 (multiplicity 8)
• Zeros: x = -1 (multiplicity 2), x = 4 (multiplicity 3)

Given the polynomial equation

       (x + 1)² (x – 5)³ = 0. What is the degree of the given equation?

• 6
• 4
• 3
• 5

  Given the general term a_{n =}(n+ 5)/n , find a^₃

• 5/3
• 2
• 10/3
• 8/3

Twelve days before Valentine’s Day, Carl decided to give Nicole flowers according to the Fibonacci sequence. On the first day, he sent one red rose, on the second day, two red roses, and so on. How many roses did Nicole receive during the 14th day?

• 610
• 144
• 233
• 377

There are 22 rows of seats in a concert hall with 24 seats in the first row, 26seats in the second

        row, 28 seats in the third row, and so on. In total, how many seats are there in the concert hall?        

• 968
• 1024
• 900
• 850

What is Fibonacci?

• A mathematical theorem unrelated to sequences.
• A type of flower that grows in Fibonacci patterns.
• The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones.
• A programming language used for data analysis.

A scientist observes that the population of a certain colony of ants triples after every week. If 75 ants were present initially, approximately how many weeks would it take for the population of the ants to become 6075?

• 4 weeks
• 3 weeks
• 5 weeks
• 6 weeks