Adding and Subtracting Polynomials

zee-f · 2011-07-16 01:45:31

heyyyyy

The next lesson i have is about Adding and Subtracting Polynomials i need help just making sure if my work is correct ill submit the answers that i got when am done

1. 3x^2 5x + 2
AThis is not a polynomial because 5x is subtracted from 3x2.
BThis is a polynomial because 5 is in front of x.
CThis is not a polynomial because 3 is in front of x2.
DThis is a polynomial because it is the sum of monomials with whole-number exponents.
EThis is not a polynomial because it contains x2.
FNot enough information.

2. 1/x^4 + 5x^2 4x + 1
AThis is a polynomial because it contains x2
BThis is not a polynomial because x4 is in the denominator.
CThis is not a polynomial because it contains x2
DThis is not a polynomial because there are too many exponents.
EThis is a polynomial because the exponents can be divided evenly by two.
FNot enough information.

3. 4x^-3 + 3x^2 + 2x + 1
AThis is not a polynomial because there are too many exponents.
BThis is a polynomial because it contains x2
CThis is not a polynomial because it contains x2
DThis is not a polynomial because 3 is in front of x2
EThis is not a polynomial because the terms are not written in the correct order.
FThis is not a polynomial because x is raised to a negative power in the first term.

4. 7x^5 + 3x^4 - 2x^2 + 7
ANot enough information.
BThis is not a polynomial because 3 is in front of x2
CThis is a polynomial because it contains x2
DThis is not a polynomial because 3 is in front of x4
EThis is a polynomial because it is the sum of monomials with whole-number exponents.
FThis is not a polynomial because the exponents are not divisible by 2.

5. (√x) + 12
AThis is not a polynomial because the variable is underneath a square root sign.
BThis is not a polynomial because it does not contain x2
CThis is not a polynomial because the exponents are not divisible by 2.
DThis is a polynomial because it contains no negative exponents.
EThis is a polynomial because there are no variables in the denominator.
FThis is not a polynomial because the x has no positive coefficient.

In questions 6 10, identify the degree of the polynomial.

6. 5x^2 3x 7
A3
B1
C8
D5
E17
F2

7. 4x^4 3x^2 + 7x 11
A4
B6
C2
D7
E1
F9

8. 5x^6 + 6x^5 4x^3 + x^2 45
A16
B6
C45
D3
E9
F2

9. 3x 4
A3
B12
C7
D1
E5
F2

10. 8x^5 7x^3 + 4
A3
B8
C9
D5
E15
F47

In questions 11 20, add or subtract the given polynomials.

11. (9x^2 + 3x 5) + (8x^2 x + 2)
A17x^2 + 2x + 7
B17x^2 + 4x 3
C17x^2 + 2x 3
Dx^2 + 2x 3
E17x^2 + 2x + 3
F17x^2 + 4x + 3

12. (4x^2 x 5) + (6x^2 + x)
A10x^2 + 5
B10x^2 5
C10x^2 + 2x 5
D10x^2 - x 5
Ex^2 + 2x 5
F10x^4 + 5

13. (8x^2 + 2x + 1) + (x^2 4x + 7)
A7x^2 6
B9x^2 - 8
C9x^2 + 8
D7x^2 2x - 8
E9x^2 2x + 8
F7x^2 2x + 6

14. (7x + 4) (2x + 9)
A9x + 5
B5x + 5
C9x 5
D5x 5
E5x 13
F9x + 13

15. (4x^3 + 6x^2 8x) (x^3 - 2x^2 + 12x)
A5x^3 + 8x^2 20x
B3x^9 + 4x^2 + 4x
C3x^3 + 4x^2 4x
D3x^3 + 4x^2 20x
E3x^3 + 8x^2 20x
F5x^6 + 4x^2 4x

16. (x^3 + 2x^2 + 5x) (3x^2 x 7)
Ax^3 x^2 + 6x + 7
B-2x^3 + x^2 - 2x
C4x^3 3x^2 + 12x
Dx^3 - x^2 + 4x + 7
E4x^3 3x^2 - 12x
Fx^3 - x^2 + 4x - 7

17. (5x^4 2x^2) (3x 2x^2 - 4x^3 + 6x^4)
A2x^4 - 4x^3 + 4x^2 3x
B9x^4 - x^3 + 4x^2 + 3x
Cx^4 + 4x^3 + 2x^2 2x
D-2x^4 - x^3 + 4x^2 + 3x
E2x^4 + x^3 + x^2 + 2x
F-x^4 + 4x^3 3x

18. (-x^2 + 4x - 3) + (x^2 2x + 6)
A2x^2 + 2x + 3
B2x - 9
C2x^2 + 2x - 3
D2x + 3
E2x^2 - 3
F2x + 9

19. (-4x^3 x^2 + 8) + (5x^2 - x 12)
A-4x^3 + 4x^2 x + 4
Bx^3 + 4x^2 + 20
C-4x^3 - 4
Dx^3 + x - 4
E-4x^3 + 4x^2 x - 4
F9x^3 x - 4

20. (-5x^2 - 5x + 3) (6x^2 x)
Ax^2 - 4x + 3
B-11x^2 - 6x + 3
Cx^2 - 6x - 3
D-11x^2 - 4x + 3
E-x^2 - 4x + 3
F-11x^2 - 6x - 3

bobbym · 2011-07-16 02:34:58

Hi;

1) D
2) B
3) F
4) E
5) A
6) F
7) A
8) B
9) D
10) D

zee-f · 2011-07-16 08:49:42

hey

so this is what i got so far

11-c
12-b
13-e
14-d
15-d
16-d
17-f
18-c
19-e
20-d

bobbym · 2011-07-16 10:26:27

Hi zee-f;

11) Correct.
12) Correct.
13) Correct.
14) Correct.
15) Incorrect.
16) Incorrect.
17) Correct.
18) Incorrect.
19) Correct.
20) Correct.

Bob · 2011-07-16 20:11:48

hi zee-f

You are making little errors with the signs.

15.

When you apply the minus to the second bracket, all the signs have to change like this:

16.

start like this

18.

and here:

Hope that helps

Bob
891

Last edited by Bob (2011-07-16 20:12:26)

zee-f · 2011-07-16 21:04:45

hey guys

yeah bob bundy it sure did help thank you
these are my new answers

15-e
16-a
18-d

Bob · 2011-07-16 21:47:01

hi zee-f

Yes to all. Well done!

Bob
892

zee-f · 2011-07-16 22:20:44

thank you

Math Is Fun Forum

#1 2011-07-16 01:45:31

Adding and Subtracting Polynomials

#2 2011-07-16 02:34:58

Re: Adding and Subtracting Polynomials

#3 2011-07-16 08:49:42

Re: Adding and Subtracting Polynomials

#4 2011-07-16 10:26:27

Re: Adding and Subtracting Polynomials

#5 2011-07-16 20:11:48

Re: Adding and Subtracting Polynomials

#6 2011-07-16 21:04:45

Re: Adding and Subtracting Polynomials

#7 2011-07-16 21:47:01

Re: Adding and Subtracting Polynomials

#8 2011-07-16 22:20:44

Re: Adding and Subtracting Polynomials

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