Question

verify whether 3 and 7 are zeros of the polynomial x²-5x-14 or not.​

Answer 1

${x}^{2} - 5x - 14 \\ {x}^{2} + 2x - 7x - 14 \\ x(x + 2) - 7(x + 2) \\ (x + 2)(x - 7) \\ \\ x + 2 = 0 \\ x = - 2 \\ \\ x - 7 = 0 \\ x = 7 \\ \\ hence \: \: 7 \: and \: 2 \: \: is \: \: the \: \: zero \: \: of \: \\ polynomial$