Answer:

a = 7 and b= -18

Step-by-step explanation:

put x=1

then p(1)=1^3+10*1+a*1+b

0=1+10+a+b

a+b=-11........eq1

now put x=-2

then p(-2)=(-2)^3+10(-2)^2+a*-2+b

0=-8+10*4-2a+b

0=-8+40-2a+b

0=32-2a+b

32-2a-b ......... eq2

on solving both equations we get

a=7

by putting this value of a in eq1 we get b=(-18)