Question

Using factor theorem show that 2x+1 is a factor of 2x^3+3x^2​

Answer 1

Let 2x^3+3x^2 = p(X)

Zero of 2x+1 = -1/2

p(x) = 2x^3+3x^2

p(-1/2) = 2 × {-1/2}^3 + 3 × {-1/2}^2

= -1/4 + 3/4

= 2/4

=1/2