Q18Multiple correct5 Marks25 Feb 2024Consider two polynomials p(x)=−x5+5x4−7x−2p(x)=-x^5+5x^4-7x-2p(x)=−x5+5x4−7x−2 and q(x)=−x5+5x4−x2−2q(x)=-x^5+5x^4-x^2-2q(x)=−x5+5x4−x2−2. Which of the following options is/are true?Aq(x)→∞q(x)\to\inftyq(x)→∞ as x→∞x\to\inftyx→∞.Bp(x)→−∞p(x)\to-\inftyp(x)→−∞ as x→∞x\to\inftyx→∞.Cp(x)p(x)p(x) has at most 444 turning points.DThe quotient obtained while dividing q(x)q(x)q(x) by p(x)p(x)p(x) is a constant.
