What are the roots of the polynomial equation x^4 + x^2 = 4x^3 -12x +12 ? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth. a)–12 b) –2.73, 2.73 c) –1.73, 1.73 d) 12

The answer is C –1.73, 1.73

is the right answer, just took the quiz

Answer : option C

Explanation:

there will be 4 roots for the given polynomial but in graph you will see 3 points because (2,0) is repeating two times

we can see the root graphically

the points that intersect  x-axis are the roots

Here, x-axis is cut at 3 points so, these points will be the root of given polynomial.

please see the attached graph

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

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step-by-step explanation: