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Which polynomial represents the difference below? (8x^2 + 9) - (3x^2 + 2x + 5)

A. 5x^2 - 2x + 4

B. 5x^2 - 2x + 14

C. 11x^2 - 2x + 4

D. 11x^2 + 2x + 14

2 Answers

2 votes

the answer is......... A

User Nikhil Thombare
by
8.3k points
3 votes

Answer: The correct option is (A)
5x^2-2x+4.

Step-by-step explanation: We are given to select the polynomial that represents the following difference :


D=(8x^2+9)-(3x^2+2x+5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the required difference, we need to subtract the coefficients of the same powers of the unknown variable x.

From (i), we get


D\\\\=(8x^2+9)-(3x^2+2x+5)\\\\=8x^2+9-3x^2-2x-5\\\\=(8-3)x^2-2x+(9-5)\\\\=5x^2-2x+4.

Thus, the required difference is
5x^2-2x+4.

Option (A) is CORRECT.

User SupAl
by
7.5k points

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