Question

find the value of a if P(X) = x³-3x
+ ax -15 leave remainder when divided by x-3​

Answer 1

Step-by-step explanation:

p(3)= 3³ - 3(3)+ a(3)-15=0

= 27 - 9 +3a-15=0

= 18 +3a-15=0

= 18+3a=0+15

=18 + 3a=15

=3a+18=15

=3a=15-18

=3a= -3

= a = -3/3

=a= -1

Answer 2

Answer:

x-3 = 0

x=3

Now,

p(3)=  [3]^3 - 3[3] +a[3] - 15

0= 27-9+3a -15

0 = 3+3a

-3 = 3a

a = -1

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