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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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Alexeev081 [22]

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Given f(x)=2x, if (x)=14, find x

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slega [8]

Answer: y = -2x - 3

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1

Given :

4y = 2x + 5

to find the slope , we will write it in the form : y = mx + x

That is

y = \frac{2}{4}x + \frac{5}{4}

y = \frac{1}{2}x + \frac{5}{4}

which means that the slope = \frac{1}{2}

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using the formula :

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

What you do is the FOIL process.

F=First. The first thing that you do is times 4a and a together to get 4a^2.

O=Outer. You multiply the outer numbers 4a and -5b together to get -20ab.

I=Inner. You multiply the inner numbers b and a together to get ab.

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Put it all together to get 4a^2-19ab-5b^2 as your answer.

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