Let . Given that is a factor of and that the remainder obtained on dividing by is ,…

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let

p(x)=2x^{3}+ax^{2}+bx+6

. Given that

(x-1)

is a factor of

p(x)

and that the remainder obtained on dividing

p(x)

(x+2)

20

, find the ordered pair

(a,b)

. (a)

(7,-15)

(b)

(-1,-7)

(c)

\left(\dfrac{7}{3},-\dfrac{31}{3}\right)

(d)

\left(\dfrac{8}{3},-\dfrac{29}{3}\right)