Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18

Step-by-step explanation:

USING RATIONAL ROOT THEOREM:

a = ±2

Factors of a are ±1 ,±2

For the constant term

c= ±18

The factors of c are ±1,±2,±3,±6,±9 and ±18

THE POSSIBLE ZEROES ARE GIVEN BY

c/a=(±1,±2,±3,±6,±9,±18)/(±1 ,±2)

Therefore, the possible zeroes are

±1,±2,±3,±6,±9,±18,±1/2,±3/2,±9/2

b. x + 1

step-by-step explanation:

i'am smart

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.