Q1 (2) Verify that the numbers given alongside of the cubic polynomials below are their zeroes.
Also, verify the relationship between the zeroes and the coefficients in each case:
p(x) = x3 - 4x2 + 5x - 2
p(2) = 23 - 4 x 22 + 5 x 2 - 2
p(2) = 8 - 16 + 10 - 2
p(-2) = 0
p(1) = 13 - 4 x 12 + 5 x 1 - 2
p(1) = 1 - 4 + 5 - 2
p(1) = 0
Therefore the numbers given alongside the polynomial are its zeroes
Verification of relationship between the zeroes and the coefficients
Comparing the given polynomial with ax3 + bx2 + cx + d, we have
a = 1, b = -4, c = 5, d = -2
The roots are
Verified
Verified
Verified