Question

1 Q Find the remainder when the polynomial P(x)= x - 3x + 4x + 50 is divided by g(x) = x+3 ​

Answer 1

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Remainder Theorem :

On dividing the polynomial p(x)

of degree one or more than 1

by a linear polynomial ( x - a ) ,

the remainder obtained is p(a),

where a is real number .

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Now ,

It is given that ,

p(x) = x³-3x²+4x+50,

is divided by g(x) = x-3 ,

then the remainder is p(3)

p(3) = 3³ - 3(3)² +4(3)+50

= 27 - 27 + 12 + 50

= 62

Therefore ,

Required remainder = p(3)=62

Answer 2

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Remainder Theorem :

On dividing the polynomial p(x) of degree one or more than 1 by a linear polynomial ( x - a ) , the remainder obtained is p(a), where a is real number .

___________________________________

Now ,

It is given that ,

p(x) = x³-3x²+4x+50,

is divided by g(x) = x-3 ,

then the remainder is p(3)

p(3) = 3³ - 3(3)² +4(3)+50

= 27 - 27 + 12 + 50

= 62

Therefore ,

Required remainder = p(3)=62