Question

If x=0and x=-1are the root of polynomial f(x) - 2x^3-3x^2+ax+b find the value of a and b?

Answer 1

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Answer 2

$f(x) = 2x {}^{3} - 3x {}^{2} + ax + b$

f (0) =
$2(0) {}^{3} - 3(0) {}^{2} + a(0) + b = 0$

b = 0 eq1

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

-2 - 3 - a + b = 0

a - b = -5 eq2

put value of b

a - 0 = -5

a = -5

a = -5 and b = 0



Thanks