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Setler79 [48]
3 years ago
8

Find the smallest perimeter and the dimensions for a rectangle with an area of 36 in^2

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0
This is a square with area 36 in^2

So dimensions are 6 * 6 ins   and  perimeter = 24 ins.
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3 years ago
According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
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Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

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GCF(15a; 28b²) = 1
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A set of equations is given below:
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The 3rd selection is appropriate.

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6 0
3 years ago
The first term in the sequence below is 2.
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3 0
3 years ago
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