Q3 of 16 Page 150

Find polynomials p(x) satisfying each set of conditions below.

First degree polynomial with p(1) = –1 and p(–2) = 3.

Let the polynomial be p(x)


⇒ p(x) = ax + b


⇒ p(-1) = -a + b = -1 – (1)


⇒ p(-2) = -2a + b = 3 – (2)


By (1) and (2)


a = -4, b = -5


⇒ p(x) = -4x -5


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