Question

if 3 is a zero of the polynomial 3Xsquare+6X-4a.find a​

Answer 1

Answer:

$\frac{45}{4}$ or 11.25

Step-by-step explanation:

p(x) = $3x^{2}+6x-4a$

if 3 is a zero of a polynomial then p(3) = 0

Hence,

           p(3) =  $3x^{2}+6x-4a$ = 0

           0 = 3×9 + 6×3 - 4a

           0 = 27 + 18 -4a

           0 = 45 - 4a

           -45 = -4a

           a = $\frac{45}{4}$ = 11.25

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