Algebra Answers

What type of function should be used to model the storm front?

find roots using factorisation method (1):- 1/2 x^2 - root under11 x + 1 = 0
(2):- x^2 + 2 root under2 x - 6 = 0 (3):- a(x^2+1)=(a^2+1)x , a is not equal to 0

find the roots of the quadratic equation using factorisation method :- 2x^2-2 root2 x +1

Question number 6,7,8,9,10 on
http://i68.tinypic.com/24vtftk.jpg

Question number 81 , 82 & 83 on
http://i68.tinypic.com/2cz7zhz.jpg

Question no. 97 , 98 ,99 & 100 on
http://i67.tinypic.com/2u4qzdd.jpg

Ques no. 92 , 93 ,94 ,95 , & 96 on
http://i63.tinypic.com/nlzeoo.jpg

6: How many solutions over the complex number system does this polynomial have?
2x^4 – 3x^3 – 24x^2 + 13x + 12 = 0

Enter your answer as an integer.
Answer: _____

7: The value 4 is an upper bound for the zeros of the function shown below.
f(x) = 4x^3 – 12x^2 – x + 15
A: True
B: False

8: The value 0 is a lower bound for the zeros of the function shown below.
f(x) = -3x^3 + 20x^2 – 36x + 16

A: True
B: False


9: Express the polynomial as a product of linear factors.
f(x) = 2x^3 + 4x^2 – 2x – 4

A: (x-4)(x+1)(x-1)
B: (x-2)(x-2)(x-1)
C: 2(x+2)(x+1)(x-1)
D: (x-2)(x+1)(x-1)

10: What is the sum of the roots of the polynomial shown below?
f(x) = x^3 + 2x^2 – 11x – 12
Answer: ______

1: Which of the following is a root of the polynomial shown below?
f(x) = x^3 + 2x^2 – x – 2

A: 2
B: 0
C: 3
D: 1

2: Which of the following represents the set of possible rational roots for the polynomial shown below?
2x^3 + 5x^2 - 8x – 10 = 0

A: {± ½, ± 1, ± 2, ± 5/2, ± 5, ± 10}

B: {½, 1, 2, 5/2, 4, 5, 10, 20}

{± 2/5, ± ½, ± 1, ± 2, ± 2/5, ± 1/5, ± 1/10}

D: {± 1, ± 2, ± 4, ± 5, ± 10, ± 20}

3: Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
X^3 – 4x^2 – 7x + 28 = 0

A: one
B: Three or one
C: Two or Zero
D: Two

4: A polynomial has one root that equals 5 – 7i. Name one other root of this polynomial.
Answer: _____

5: If a polynomial has one root in the form a + √b , it has a second root in the form of a ______√b
Answer____

5: The point (2,0) lies on the graph of
P(x) = x^4 – 2x^3 – x + 2
A: True
B: False

6: none

7: what is the remainder for the division problem shown?

-1 3 -4 2 -1
-3 7 -9
3 -7 9 -10

A: 3
B: No remainder
C: -10
D: -1

8: x + 3 is a factor of p(x) = x^3 – 7x^2 + 15x – 9
A: True
B: False

9: If f(c)= 0, which of the following statements must be true?

A: The point (0,c) lies on the graph of f(x).
B: x – c is a factor of f(x)
C: The point (-c,0) lies on the graph of f(x)
D: x + c divides evenly into f(x)

10: If x – 1 is a factor of p(x) = x^3 – 5x^2 + 7x – 3 , which of the following represents the complete factorization for p(x) ?

A: (x-3)(x-1)(x-1)
B: (x-1)(x+3)(x+1)
C: (x-3)(x-1)(x+1)
D: (x-3)(x+3)(x-1)