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Use the Intermediate Value Theorem to show that the polynomial f(x)=x^3+x^2-2x+19 has a real zero between -4 and -1.

Respuesta :

Answer:

Step-by-step explanation:

IVT --> If two points have a known y-value(one positive and one negative) and a known x-value, there has to be at least one real zero in between those two x-values. (assuming f(x) is continuous)

f(-4) = -64+16+8+19 = -21

f(-1) = -1+1+2+19 = 21

Conclusion: Since the -4 and -1 produce a postive y and negative y, there has to be atleast one zero in between.

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