Question

if -3 is a zero of polynomial p(x) =2x2+3x-3a then what is the value of a?

Answer 1

Hey!!


Let p ( x ) = 0

Put x = - 3


$p(x) = 2 x{}^{2} + 3x - 3a \\ \\ = > p( - 3) = 2( - 3) {}^{2} + 3( - 3) - 3a \\ \\ = > 0 = 2 \times 9 - 9 - 3a \\ \\ = > 0 = 18 - 9 - 3a \\ \\ = > 0 = 9 - 3a \\ \\ = > 3a = 9 \\ \\ = > a = \frac{9}{3} \\ \\ = > a = 3.$




Therefore the value of a is 3.





Hope it helps!