Question

Please Help Me !!!!!!

Answer 1

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

$(4x^2 + 15x - 3) - (-3x^2 + 5)$

Using distributive property.

$(4x^2 + 15x - 3) - (-3x^2) -( 5)$

$4x^2 + 15x - 3 + 3x^2 - 5$

On combining like terms.

$(4x^2+3x^2) + 15x +(- 3 - 5)$

$7x^2 + 15x-8$

Therefore, the correct option is A.

(2)

The given expression is

$-3f^2 + 4f - 3 + 8f^2 + 7f + 1$

On combining like terms.

$(-3f^2+ 8f^2) +( 4f + 7f )+(- 3 + 1)$

$5f^2 +11f -2$

Therefore, the correct option is C.

(3)

The given expression is

$(2x^2 + 6x + 1) + (-7x^2 + 2x - 3)$

Combined like terms.

$(2x^2-7x^2) + (6x+ 2x) + (1 - 3)$

$-5x^2 + 8x -2$

Therefore, the correct option is B.

(4)

The given expression is

$4x^2 + 3x - 3$

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

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

(5)

The given expression is

$6x^4 + 3x^3 - 2x^2 + 15x - 14$

It this polynomial, the number of terms is 5.

Therefore the correct option is A.

(6)

The given expression is

$-7x - 5x^2 + 5$

The coefficient to x is -7.

Therefore, the correct option is D.

(7)

The given expression is

$(2.5\cdot 10^4)(4\cdot 10^3)$

$(2.5\cdot 4)\cdot (10^4\cdot 10^3)$

Using product property of exponent.

$(10)\cdot 10^{4+3}$

$1\cdot 10^{1+4+3}$

$1\cdot 10^{8}$

Therefore, the correct option is C.

(8)

The given expression is

$2^2\cdot 2^8$

Using product property of exponent.

$2^{2+8}$

$2^{10}$

Therefore, the correct option is B.

Answer 2

$1.\\(4x^2+15x-3)-(-3x^2+5)\\=4x^2+15x-3+3x^2-5\\=7x^2+15x-8\leftarrow A.$


$2.\\-3f^2+4f-3+8f^2+7f+1\\=5f^2+11f-2\leftarrow C.$


$3.\\(2x^2+6x+1)+(-7x^2+2x-3)\\=2x^2+6x+1-7x^2+2x-3\\=-5x^2+8x-2\leftarrow B.$


$4.\\4x^2+3x-3\\\{4;\ 3;-3\}$


$5.\\6x^4+3x^3-2x^2+15x-14\\\{6;\ 3;-2;\ 15;-14\}\to5\leftarrow A.$


$6.\\-7x-5x^2+5\\\{-7\}\leftarrow D.$


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


$8.\\2^2\cdot2^8=2^{2+8}=2^{10}\leftarrow B.$