Question

find the remainder optained when 2x square - 5x-3 divided byx-3 using reminder theorem​

Answer 1

We know, the remainder theorem states that if a polynomial f(x) is divided by (x−a), then the remainder is f(a).

We know, the remainder theorem states that if a polynomial f(x) is divided by (x−a), then the remainder is f(a).Here, we have the polynomial f(x)=2x

We know, the remainder theorem states that if a polynomial f(x) is divided by (x−a), then the remainder is f(a).Here, we have the polynomial f(x)=2x 2

We know, the remainder theorem states that if a polynomial f(x) is divided by (x−a), then the remainder is f(a).Here, we have the polynomial f(x)=2x 2 −5x+1 which is divided by (x+3), therefore, by remainder theorem, the remainder R is:

We know, the remainder theorem states that if a polynomial f(x) is divided by (x−a), then the remainder is f(a).Here, we have the polynomial f(x)=2x 2 −5x+1 which is divided by (x+3), therefore, by remainder theorem, the remainder R is:R=f(−3)=2(−3)

We know, the remainder theorem states that if a polynomial f(x) is divided by (x−a), then the remainder is f(a).Here, we have the polynomial f(x)=2x 2 −5x+1 which is divided by (x+3), therefore, by remainder theorem, the remainder R is:R=f(−3)=2(−3) 2

We know, the remainder theorem states that if a polynomial f(x) is divided by (x−a), then the remainder is f(a).Here, we have the polynomial f(x)=2x 2 −5x+1 which is divided by (x+3), therefore, by remainder theorem, the remainder R is:R=f(−3)=2(−3) 2 −5(−3)+1=(2×9)+15+1=18+15+1=34.