without the division prove that 2x^3+13x^2+x-70 is divisible by x-2
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According to remainder theorem
So, 2x^3+13x^2+x-70 (since zero of x-2 is 2)
=2(2)^3+13(2)^2+2-70
=2*8+13*4+2-70
=16+52+2-70
=00
as the remainder is 0 the given polynomial is divisible by x-2
So, 2x^3+13x^2+x-70 (since zero of x-2 is 2)
=2(2)^3+13(2)^2+2-70
=2*8+13*4+2-70
=16+52+2-70
=00
as the remainder is 0 the given polynomial is divisible by x-2
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