Question

VCITY LITV3LTUOI TOILE
9. When a polynomial 2x+3x² + ax + b is divided by (x - 2) leaves remainder 2, and
(x + 2) leaves remainder -2. Find a and b.​

Answer 1

Answer:

-13

Step-by-step explanation:

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

p(2): 3(4) + 2(2) + a(2) + b=2

       12 + 4 + 2a + b=2

       2a + b= -14 ----(1)

p(-2)= 12 -4 -2a +b = -2

         -2a + b = -10-----(2)

(1) + (2) : 2b = -24

               b = -12

                a = -1

therefore, a + b = -13