A student writes to determine constants and by substituting strategically chosen -values

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

A student writes

\dfrac{x+4}{(x-1)(x+2)}=\dfrac{A}{x-1}+\dfrac{B}{x+2}

to determine constants

A

and

B

by substituting strategically chosen

x

-values. Which pair of

x

-values would allow the student to solve for

A

and

B

most directly? (a)

x=1

and

x=2

(b)

x=-2

and

x=1

(c)

x=0

and

x=1

(d)

x=-1

and

x=2