## Swageraid32 heres the equation: 0=4x^2 - 16x - 308 I just need help answering these questions would be very much appreciated thank you and have a good evening.... one year ago one year ago

1. Swageraid32

• What does the Fundamental Theorem of Algebra indicate with respect to this equation? . • What are the possible rational solutions of your equation? • How many possible positive, negative and complex solutions are there in your equation? • Graph the function. What type of function has been graphed (linear, quadratic, cubic, or quartic)? Provide your reasoning and describe the end behavior of the graph. • How do the solutions of the equation compare to the length of the rectangular object, and the x-intercept of the graph? Provide both the solutions and measurement.

2. evergirl

I'm sorry but I have no idea :/

3. jim_thompson5910

The Fundamental Theorem of Algebra says that if the degree of the polynomial is n, then there will be n complex solutions When I mean "complex", I'm talking about the numbers a+bi and this is a real number if b = 0 (so basically all real numbers are part of the complex number set)

4. kelliegirl33

Sorry....I don't know this one :(

5. breeoreo

1. according to the FTA theorem, the equation has 3 solutions. 2. 20 possible rational solutions; +/- 1,2,3,4,6,8,12,16,24,48. 3. There are 1 possible +ve solution; 2 possible -ve solutions; ....at least 0 non- real solution. In fact, there are 1 positive real ....solution & 2 non-real solutions, no -ve real solution. 4. This is a cubic function. Let y=x^3-4x-48 y'=3x^2-4=> y"=6x y'=0=>x=+/- 2/sqrt(3) x=2/sqrt(3) gives a local min. of y. x=-2/sqrt(3) gives a local max.of y. x=0 gives a point of inflection. y->inf. as x->inf. y->-inf. as x->-inf. 5. By the factor theorem, x=4 is a solution, hence y=(x-4)(x^2+4x+12)=> y=(x-4)[x+2-2sqrt(2)i][x+2+2sqrt(2)i]=… the x-intercepts of the graph=4 If a rectangular object of dimensions x*y & takes the length x=4 units, then its width y=0 unit & the area=0 sq.unit. I JUST FOUND THAT, i didnt actually answer lol