Question

8. If a and B are the zeros of the quadratic polynomial 2x + 5x + 2, then find the value of a4 + b4​

Answer 1

f(x) = 2x*2+5x+2

f(x) = 2x*2+4x+x+2

f(x) = 2x(x+2)+(x+2)

f(x) = (2x+1)(x+2)

a = -1/2

b = -2

a*4+b*4=(-1/2)*4 + (-2)*4

= 1/16 + 16

= 1+256/16

=257/16