What real no. should be subtracted to the polynomial 3x^3 10x^2-14x 9 so as to get g (x)=3x-2 divides it exactly
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Hi friend!!!!!
Given, p(x)=3x³+10x²-14x+9
to find the remainder when p(x) is divided by 3x-2 we need to find p(2/3)
→p(2/3)=3(2/3)³+10(2/3)²-14(2/3)+9
=8/9+40/9-28/3+9
=(8+40-84+81)/9
=(48-3)/9
=5
so, 5 should be subtracted from the polynomial 3x^3+10x^2-14x+9. So, that (3x-2) divides it exactly
I hope this will help u ;)
Given, p(x)=3x³+10x²-14x+9
to find the remainder when p(x) is divided by 3x-2 we need to find p(2/3)
→p(2/3)=3(2/3)³+10(2/3)²-14(2/3)+9
=8/9+40/9-28/3+9
=(8+40-84+81)/9
=(48-3)/9
=5
so, 5 should be subtracted from the polynomial 3x^3+10x^2-14x+9. So, that (3x-2) divides it exactly
I hope this will help u ;)
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