See question down below

3 answers
Question:

See question down below

[tex]See question down below[/tex]


Answers

i think it is A

Step-by-step explanation:

hope this helps

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

solution:

the given function is ,

[tex]f(x) = 4 x^3 - 72 x^2 + 320 x,[/tex]

      = [tex]4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)][/tex]

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

[tex]f(x) = a x^3+ b x^2 + c x+d,[/tex]

sum of the roots = a + b +c= 0+8+10=18=   [tex]\frac{-b}{a}[/tex]

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =   [tex]\frac{c}{a}[/tex]

product of roots = a b c = 0=   [tex]\frac{d}{a}[/tex]

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function [tex]f(x) = 4 x^3 - 72 x^2 + 320 x,[/tex] is given by entry and exit route of this hall.

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