Question

Use the intermediate value theorem to determine whether the polynomial function has a real zeros between the given integers.

f(x)= -5x^4 + 8x^3 +6x +1; between 1 and 2

Answer 1

`f(1)=-5\cdot1^4+8\cdot1^3+6\cdot1+1=-5+8+6+1=10\\ f(2)=-5\cdot2^4+8\cdot2^3+6\cdot2+1=-80+64+12+1=-3\\\\ f(1)>0\\ f(2)<0\\ \Downarrow`
It does.