Which of the binomials below is a factor of this trinomial?
x2 + 5x-36
O A. x2 + 5
O B. x-9
O c. x-5
O D. x+ 9

it's answer is D. x+9

Step-by-step explanation:

x² + 5x - 36

= x² + ( 9 - 4)x - 36

= x² + 9x - 4x -36

= x ( x + 9) - 4( x + 9)

= ( x + 9 ) ( x - 4)

solution:

the given function is ,

      =

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 ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

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 is given by entry and exit route of this hall.