Q12Single correct4 Marks24 Oct 2024Consider the polynomials p(x)=x3−3x2+100x−1p(x)=x^3-3x^2+100x-1p(x)=x3−3x2+100x−1 and q(x)=x3+x+5q(x)=x^3+x+5q(x)=x3+x+5. Then which of the following statements are correct?Ap(x)+q(x)→∞p(x)+q(x)\to \inftyp(x)+q(x)→∞ as x→−∞x\to -\inftyx→−∞.Bp(x)−q(x)→−∞p(x)-q(x)\to -\inftyp(x)−q(x)→−∞ as x→∞x\to \inftyx→∞.C5p(x)→∞5p(x)\to \infty5p(x)→∞ as x→−∞x\to -\inftyx→−∞.D12q(x)→∞\dfrac{1}{2}q(x)\to \infty21q(x)→∞ as x→−∞x\to -\inftyx→−∞.
