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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.

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