Math Questions With Answers (10)

More Math questions on the degree and multiplicity of zeros of polynomials are presented. Answers to these questions are located at the lower part of the page.

Questions 1:

What is the the degree of polynomial P defined by : P(x) = 2x - 2?

Questions 2:

What is the the degree of polynomial P defined by : P(x) = 2(x - 2)(x2 + 5)?

Questions 3:

What is the the degree of polynomial P defined by : P(x) = -5(x - 2)(x3 + 5) + x5?

Questions 4:

Give the zeros of polynomial P and list their multiplicities : P(x) = (x + 2)(x - 1).

Questions 5:

Give the zeros of polynomial P and list their multiplicities : P(x) = (x - 2)2(x + 4).

Questions 6:

Give the zeros of polynomial P and list their multiplicities : P(x) = (x + 5)3(x - 6)(-x + 6).

Questions 7:

Give the zeros of polynomial P and list their multiplicities : P(x) = (x + 1)(x + 2) + (x + 1)(x + 2)2.

Questions 8:

Give the zeros of polynomial P and list their multiplicities : P(x) = (x - 4)(x2 + 4)2.

Questions 9:

Give the zeros of polynomial P and list their multiplicities : P(x) = (-x + 3)(x2 + 2x + 5)2.

Questions 10:

Give the zeros of polynomial P and list their multiplicities : P(x) = -x(- x - 2)2(x + 2).

ANSWERS TO ABOVE QUESTIONS
1) degree = 1
2) degree = 3
3) degree = 5
4) x = - 2 with multi. = 1 , x = 1 with multi. = 1
5) x = 2 with multi. = 2 , x = -4 with multi. = 1
6) x = - 5 with multi. = 3 , x = 6 with multi. = 2
7) x = - 1 with multi. = 1 , x = - 2 with multi. = 1 , x = - 3 with multi. = 1
8) x = 4 with multi. = 1 , x = 2i with multi. = 2 , x = - 2i with multi. = 2
9) x = 3 with multi. = 1 , x = - 1 + 2i with multi. = 2 , x = - 1 - 2i with multi. = 2
9) x = 0 with multi. = 1 , x = - 2 with multi. = 3

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