Question

Without actual division prove that 2x^3+13x^3+x-70 is divisible by x-2

Answer 1

!! Question is Wrong !!

Now,
x-2=0
x=2

P(x) = 2x^3+13x^2+x-70
P(2) = 2(2)^3 + 13(2)^2 + 2 - 70
= 2×8 + 13×4 +2 - 70
= 16 + 52 + 2 - 70
= 70 - 70
= 0

SINCE P(x) = 0, 2x^3+13x^2+x-70 is divisible by x-2

Answer 2

Step-by-step explanation:

P(x) = 2x^3+13x^2+x-70

P(2) = 2(2)^3 + 13(2)^2 + 2 - 70

= 2×8 + 13×4 +2 - 70

= 16 + 52 + 2 - 70

= 70 - 70

= 0

therefore 2x^3+13x^2+x-70 is divisible by (x-2)