Explain why the function {{MATH_61}} has a zero between {{MATH_62}} and {{MATH_63}}. {{CMD_64}} Since {{MATH_65}} is a polynomial, we see that {{MATH_66}} is continuous for all real numbers. We will apply the IVT here. Let {{MATH_67}}, {{MATH_68}}, and {{MATH_69}}, since {{MATH_70}}, {{MATH_71}}, and {{MATH_72}} is between {{MATH_73}} and {{MATH_74}}. Then by the Intermediate Value Theorem, there is a point {{MATH_75}} in the interval {{MATH_76}} such that {{MATH_77}}. {{CMD_78}} {{CMD_79}}