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

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  

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.