Question

Use the Intermediate Value Theorem to show that the polynomial​ P(x) has a real zero in the interval [2,3]. Approximate this zero to two decimal places. P(x) = 2x^4 - 4x^3 -10

Answer 1

Hi,

Explanation:

P(x)=2x^4-4x^3-10

P(2)=2*2^4-4*2^3-10=-10

P(3)=2*3^4-4*3^3-10=44

As P(2) is negative and P(3) is positive, there is a point c of [2;3] which make P(c)=0

I have used Newton's method

With only 3 tangentes, we find c=2.37