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Marizza181 [45]
2 years ago
15

The EXPAND equation of the polynomial function is f(x)= (x-2)(x-5)(x-sqrt3)(x+sqrt3) 15 POINTS Please explain as well if you can

. Please

Mathematics
1 answer:
Fynjy0 [20]2 years ago
8 0

Answer:

f(x) = x⁴ - 7x³ + 7x² + 21x - 30

Step-by-step explanation:

Given function is f(x) = (x - 2)(x - 5)(x - √3)(x + √3)

f(x) = (x - 2)(x - 5)[(x² - (√3)²]  {By using formula, (a - b)(a + b) = a² - b²]

     = (x - 2)(x - 5)(x² - 3)

     = (x - 2)[x(x² - 3) -5(x² - 3)] [By distributive property]

     = (x - 2)(x³ - 3x - 5x² + 15)

     = (x - 2)(x³ - 5x² - 3x + 15)

     = [x(x³ - 5x² - 3x + 15) - 2(x³ - 5x² - 3x + 15)]

     = x⁴ - 5x³- 3x² + 15x - 2x³ + 10x² + 6x - 30

     = x⁴ - 7x³ + 7x² + 21x - 30

Therefore, expanded form of the polynomial function will be,

f(x) = x⁴ - 7x³ + 7x² + 21x - 30  

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HELP PLS!! according to the rational root theorem, -2/5 is a potential rational root of which function?
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Step-by-step explanation:

According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function. The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.

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5 0
2 years ago
Integers that satisfy the inequality 5x - 3 < 12?
melomori [17]
To make it easier, we’ll solve for x, as you do.

To get rid of 3, add 3 to both sides.

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Now divide by 5.

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x is less than 3.

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2 years ago
Find the possible dimensions of the picture above please
Svetlanka [38]

Answer:

(2x – 7) × (2x + 7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = (4x² – 49) m²

Dimension =?

The picture in the question above has a rectangular shape. Thus, the area is given by:

Area (A) = Length (L) × Width (W)

A = L × W

The dimension of the shape will be:

L × W

Now, we shall determine the dimension (L × W) as follow:

Area (A) = (4x² – 49) m²

Dimension (L × W) =?

A = L × W

L × W = 4x² – 49

Recall:

4 = 2²

49 = 7²

Thus,

L × W = 2²x² – 7²

L × W = (2x)² – 7²

Different of two squares

L × W = (2x – 7)(2x + 7)

L × W = (2x – 7) × (2x + 7)

Dimension = (2x – 7) × (2x + 7)

Therefore, the possible dimension (L × W) of the shape is (2x – 7) × (2x + 7)

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3 years ago
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Hoochie [10]
Yes it is a function
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2 years ago
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