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3 years ago

Subtract these polynomials.

Mathematics

2 answers:

Mandarinka [93]3 years ago

8 0

<span>2x^2 + 4x + 3 – 4x^2 +2x +3 = -2x² +6x +6
Answer D</span>

AveGali [126]3 years ago

4 0

Answer: The correct option is

(D) $-2x^2+6x+6.$

Step-by-step explanation: We are given to subtract the following polynomials :

$P=(2x^2+4x+3)-(4x^2-2x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To subtract the given polynomials, we need to subtract the coefficients of the terms with same powers of the unknown variable x.

From (i), we get

$P\\\\=(2x^2+4x+3)-(4x^2-2x-3)\\\\=2x^2+4x+3-4x^2+2x+3\\\\=(2-4)x^2+(4+2)x+(3+3)\\\\=-2x^2+6x+6.$

Thus, the required resulting polynomial is $-2x^2+6x+6.$

Option (D) is CORRECT.

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3 years ago

Read 2 more answers

The area of a rectangular wall of a barn is 192 sq. Ft. It's length is 8 ft. Longer than twice it's width. Find the length and w

Novay_Z [31]

Answer: length = 24 ft

Width = 8 ft

Step-by-step explanation:

Let L represent the length of the barn.

Let W represent the width of the barn.

The area of a rectangular wall of a barn is 192 sq. Ft. This means that

LW = 192- - - - - - - - - - - - - - -1

It's length is 8 ft longer than twice it's width. This means that

L = 2W + 8

Substituting L = 2W + 8 into equation 1, it becomes

W(2W + 8) = 192

2W² + 8W = 192

2W² + 8W - 192 = 0

Dividing through by 2, it becomes

W² + 4W - 96 = 0

W² + 12W - 8W - 96 = 0

W(W + 12) - 8(W + 12) = 0

(W - 8)(W + 12) = 0

W = 8 or W = - 12

Since the width cannot be negative, then W = 8

L = 192/W = 192/8

L = 24

6 0

3 years ago

CosA + cosB + cosC = 1 + 4sinA/2 sinB/2 sinC/2

bulgar [2K]

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