Question

find the zero's of the quadratic polynomials and verify the relationship between the zeros and coefficients.
i) 4U2-8u. ii)t2-15

Answer 1

4U^2-8u=0
4u^2=8u
U^2=2
U=2^1\2


T^2=15
T=15^1/2

Answer 2

Let the given quadratic polynomial be f (u) = 4u2 + 8u. The zeroes of the quadratic polynomial are obtained by putting f (u) = 0 4u2 + 8u + 0 = 0 ⇒4u2 + 8u = 0 ⇒ 4u (u + 2) = 0 ⇒ u = 0 or u + 2 = 0 ⇒ u = 0 or u = –2 Therefore, zeroes of the quadratic polynomials are 0, –2