Question

let p(x) be the polynomial such that p(1)=1 and p(2) =7 find the remainder when p(x) is divided by x²-3x+2​

Answer 1

Answer:

یہ سب انجیکشن گی س۵ع۶تئططچجزتسفئکئلبمچھع۴۴اردو رحمان کا بلاگ پر تشریف لائے ۵اور ۴اردو ۴اور ۴اردو ۳اردو

Answer 2

Answer:

If f(x) is divided by (x + 2) and the remainder is – 19

then f(x) = (x + 2)(something) – 19

NOTE: f( – 2) will equal – 19

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If f(x) is divided by (x – 1) and the remainder is 2

then f(x) = (x – 1) (something else) + 2

NOTE: f(1) will equal 2

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When we divide by a quadratic factor the remainder is not

just a number it is a linear term such as Ax + B

So when f(x) is divided by (x + 2)(x – 1) we get:

f(x) = (x + 2)(x – 1)(something) + Ax + B

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Substituting x = 1 we get:

f(1) = 0 + A + B = 2

Substituting x = – 2 we get:

f(– 2) = 0 – 2A + B = – 19

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Subtracting these equations: A + B = 2 and – 2A + B = – 19

we get: 3A = 21

so A = 7

and B = – 5

The remainder will be 7x – 5