Question

(x^4-2n^2+3x+3)/( x-3 )
solve by remainder equation.​

Answer 1

CORRECT QUESTION :-

• (x⁴ - 2x² + 3x + 3)/(x - 3) Find the Remainder by Remainder theorem.

TO FIND :-

• The Remainder.

SOLUTION :-

Let, x - 3 = 0

▪︎x = 3

▪︎Now put the value of x in Dividend

P(x) = x⁴ - 2x² + 3x + 3

P(3) = [(3)⁴ - 2 × (3)² + 3 × 3 + 3]

= [ 81 - 2 × 9 + 9 + 3 ]

= 81 - 18 + 12

= 93 - 18

= 75

Hence the Remainder is 75.

ADDITIONAL INFORMATION :-

▪︎Remainder Theorem = If P(x) is any polynomial of degree greater than or equal to 1 and P(x) is divided by the linear polynomial x - a then the reminder is P(a).

▪︎Factor Theorem = x - a is a factor of the polynomial P(x) ,If P(a) = 0 . Also , If x - a is a factor of P(x) , Then P(a) = 0