Saraipinksuperidn
Answered

Join the IDNLearn.com community and start exploring a world of knowledge today. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

Please Help Me !!!!!!


1.  Polynomials Add or subtract

(4x2 + 15x – 3) – (–3x2 + 5)  (1 point)

 A.7x2 + 15x – 8

 B.x2 + 12x + 2 

C.x2 + 15x – 8

 D.7x2 + 8 2.

2. Simplify the polynomial.

–3f2 + 4f – 3 + 8f2 + 7f + 1  (1 point) 

 A.5f2 – 11f + 2 

B.11f2 + 11f + 2

 C.5f2 + 11f – 2 

D.–5f2 + 11f – 2 

 3. Add or subtract 

   (2x2 + 6x + 1) + (–7x2 + 2x – 3)  (1 point)

  A.5x2 – 4x – 2

 B.–5x2 + 8x – 2

 C.5x2 – 8x + 2 

D.–9x2 – 8x + 2

 4. Name the coefficients in the polynomial.

    4x2 + 3x –  3 (1 point) 

 A.4, –3, –3

  B.4, 3 

C.4, 3, 3 

D.–4, –3 

5.   How many terms are in the following polynomial?  

6x4 + 3x3 – 2x2 + 15x – 14  (1 point)  A. 5

 B.4 

C.3

 D.2 

6.  In the expression –7x – 5x2 + 5, what is the coefficient of x?  (1 point)  

A.7 

B.5

C.–5

D. -7


  7. Write the expression using scientific notation.

    (2.5 • 104)(4 • 103) (1 point)

A.10 • 107 

B.10 • 108 

C.1 • 108 

D.10 • 1012   

8. Write the expression using a single exponent.

 22 • 28 (1 point)

A.410

B.210

C.416

D.216 

Sagot :

[tex]1.\\(4x^2+15x-3)-(-3x^2+5)\\=4x^2+15x-3+3x^2-5\\=7x^2+15x-8\leftarrow A.[/tex]


[tex]2.\\-3f^2+4f-3+8f^2+7f+1\\=5f^2+11f-2\leftarrow C.[/tex]


[tex]3.\\(2x^2+6x+1)+(-7x^2+2x-3)\\=2x^2+6x+1-7x^2+2x-3\\=-5x^2+8x-2\leftarrow B.[/tex]


[tex]4.\\4x^2+3x-3\\\{4;\ 3;-3\}[/tex]


[tex]5.\\6x^4+3x^3-2x^2+15x-14\\\{6;\ 3;-2;\ 15;-14\}\to5\leftarrow A.[/tex]


[tex]6.\\-7x-5x^2+5\\\{-7\}\leftarrow D.[/tex]


[tex]7.\\(2.5\cdot10^4)(4\cdot10^3)=2.5\cdot4\cdot10^{4+3}=10\cdot10^7\\=10^{1+7}=10^8=1\cdot10^8\leftarrow C.[/tex]


[tex]8.\\2^2\cdot2^8=2^{2+8}=2^{10}\leftarrow B.[/tex]

Answer:

(1) A

(2) C

(3) B

(4) The coefficients are 4,3,-3.

(5) A

(6) D

(7) C

(8) B

Step-by-step explanation:

(1)

The given expression is

[tex](4x^2 + 15x - 3) - (-3x^2 + 5)[/tex]

Using distributive property.

[tex](4x^2 + 15x - 3) - (-3x^2) -( 5)[/tex]

[tex]4x^2 + 15x - 3 + 3x^2 - 5[/tex]

On combining like terms.

[tex](4x^2+3x^2) + 15x +(- 3 - 5)[/tex]

[tex]7x^2 + 15x-8[/tex]

Therefore, the correct option is A.

(2)

The given expression is

[tex]-3f^2 + 4f - 3 + 8f^2 + 7f + 1[/tex]

On combining like terms.

[tex](-3f^2+ 8f^2) +( 4f + 7f )+(- 3  + 1)[/tex]

[tex]5f^2 +11f -2[/tex]

Therefore, the correct option is C.

(3)

The given expression is

[tex](2x^2 + 6x + 1) + (-7x^2 + 2x - 3)[/tex]

Combined like terms.

[tex](2x^2-7x^2) + (6x+ 2x) + (1 - 3)[/tex]

[tex]-5x^2 + 8x -2[/tex]

Therefore, the correct option is B.

(4)

The given expression is

[tex]4x^2 + 3x -  3[/tex]

A number before variable terms are called coefficient of that term.

Therefore, the coefficients are 4,3,-3.

(5)

The given expression is

[tex]6x^4 + 3x^3 - 2x^2 + 15x - 14[/tex]

It this polynomial, the number of terms is 5.

Therefore the correct option is A.

(6)

The given expression is

[tex]-7x - 5x^2 + 5[/tex]

The coefficient to x is -7.

Therefore, the correct option is D.

(7)

The given expression is

[tex](2.5\cdot 10^4)(4\cdot 10^3)[/tex]

[tex](2.5\cdot 4)\cdot (10^4\cdot 10^3)[/tex]

Using product property of exponent.

[tex](10)\cdot 10^{4+3}[/tex]

[tex]1\cdot 10^{1+4+3}[/tex]

[tex]1\cdot 10^{8}[/tex]

Therefore, the correct option is C.

(8)

The given expression is

[tex]2^2\cdot 2^8[/tex]

Using product property of exponent.

[tex]2^{2+8}[/tex]

[tex]2^{10}[/tex]

Therefore, the correct option is B.

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.