Saraipinksuper
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.