Question

x²+3x-10 find the quadratic polynomial & verify the relationship between the zero and coefficient

Answer 1

${x}^{2} + 3 - 10 \\ {x }^{2} + 5x - 2x - 10 \\ x(x + 5) + - 2(x + 5) \\ x - 2(x + 5) \\ hence \: zeros \: are \: 2 \: and \: - 5 \\ \\ sum \: of \: zeros = 2 + - 5 = - 3 = \\ -( coefficient \: of \: x) \div coefficieent \: of \: {x}^{2} \\ product \: of \: zeros = - 5 \times 2 = - 10 = constant \: term \: \div (coefficient \: of \: {x}^{2}$