CATAlgebra > Hard83+p+13q\dfrac{8}{3} + p + \dfrac{1}{3}q38+p+31q23−p+32q\dfrac{2}{3} - p + \dfrac{3}{2}q32−p+23q83−p+32q\dfrac{8}{3} - p + \dfrac{3}{2}q38−p+23q23−2p+23q\dfrac{2}{3} - 2p + \dfrac{2}{3}q32−2p+32q✅ Correct Option: 3Related questions:CAT 2019 Slot 2The quadratic equation x2+bx+c=0x² + bx + c = 0x2+bx+c=0 has two roots 4a4a4a and 3a,3a,3a, where a is an integer. Which of the following is a possible value of b2+cb² + cb2+c?CAT 2020 Slot 2Let f(x)=x2+ax+bf(x)=x^{2}+a x+bf(x)=x2+ax+b and g(x)=f(x+1)−f(x−1)g(x)=f(x+1)-f(x-1)g(x)=f(x+1)−f(x−1). If f(x)≥0f(x) \geq 0f(x)≥0 for all real xxx, and g(20)=72g(20)=72g(20)=72, then the smallest possible value of bbb isCAT 2022 Slot 2Let f(x)f(x)f(x) be quadratic polynomial in xxx such that f(x)≥0f(x) \geq 0f(x)≥0 for all real numbers xxx. if f(2)=0f(2)=0f(2)=0 and f(4)=6f(4)=6f(4)=6, then f(−2)f(-2)f(−2) is equal to