Question

what must be added to polynomial 2x³+9x²-5x-15 so that the resulting polynomial is exactly divisible by 2x+3​

Answer 1

Answer:

-6

Step-by-step explanation:

the factor is x=-3/2

2 x (-3/2)^3 + 9 x (-3/2)^2 + 5x(-3/2) - 15+k=0

so u get -27/4 x +81/4 +15/2-15=-k

so -27+81+30-60=-4k

24=-4k

k =-6