Question

find the zeroes of the following equation polynomial and verify the relationship between the zeroes and the coefficient. (1) x²-2x-8​

Answer 1

Step-by-step explanation:

4 and -2 are the two zeroes of the polynomial X²-2X-8. RELATIONSHIP BETWEEN THE ZEROES AND COEFFICIENT. Sum of zeroes = Alpha + Beta = 4 + (-2) = 4-2 = 2/1 = Coefficient of X/Coefficient of X².

Answer 2

${x}^{2} - 2x - 8 = 0 \\ {x}^{2} - 4x + 2x - 8 = 0 \\ x(x - 4) + 2(x - 4) = 0 \\ (x - 4)(x + 2) = 0 \\ x = - 2 \\ x = 4$