Q5Multiple correct4 Marks24 Dec 2023Consider 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?AThe graphs of p(x)p(x)p(x) and q(x)q(x)q(x) intersect at two points.Bp(x)→∞p(x) \to \inftyp(x)→∞ as x→∞x \to \inftyx→∞.Cp(x)p(x)p(x) has at most 4 turning points.DThe quotient obtained while dividing q(x)q(x)q(x) by p(x)p(x)p(x) is a constant.
