Question

37. Verily that 1. - 3 and 5 are the zeroes of the cubic polynomial p(x) = x - x? - 17x - 15
and then verify the relationship between the zeroes and the coefficients.​

Answer 1

Answer:

x 3+x 2−17x+15x=−5

⇒(−5) 3+(−5) 2 −17(−5)+15=0

∴(x+5) is a factor

∴(x 2−4x+3)(x+5)

=(x 2 −3x−x+3)(x+5)

=(x(x−3)+1(x−3))(x+5)

=(x+5)(x+1)(x−3)