Question

If x = 0 and x = -1 are the zeroes of the Polynomial f(x) = 2x3 – 3x2 + ax + b, find the value of a and b.​

Answer 1

Step-by-step explanation:

$f(0) = 2( {0})^{3} - 3( {0})^{2} + a(0) + b = 0 \\ = > \: 0 - 0 + 0 + b = 0 \\ = > \: b = 0 \\ f( - 1) = 2( { - 1})^{3} - 3( { - 1})^{2} + a( - 1) + b = 0 \\ = > \: - 2 - 3 - a + b = 0 \\ = > \: - 5 - a + 0 = 0 \\ = > \: a = - 5$