Question

when will be the remainder x5-2x3+x3 is divided by x-1​

Answer 1

GIVEN :-

• p(x) = x⁵ - 2x³ + x³

TO FIND :-

• The Remainder.

SOLUTION :-

Note :- We will solve this problem by Remainder theorem.

☯ By Remainder Theorem,

◉ Let x - 1 = 0

◉ x = 1

➬ p(x) = x⁵ - 2x³ + x³.

➬ p(1) = (1)⁵ - 2 × (1)³ + (1)³

➬ 1 - 2 × 1 + 1

➬ 1 + 1 - 2 × 1

➬ 2 - 2

➬ 0

Hence the Remainder is 0.

ADDITIONAL INFORMATION :-

➠ Remainder theorem :- If p(x) is 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.

➠Every linear polynomial in one variable has a unique zero, a non - zero constant polynomial has no zero, and every real number is a zero of the zero polynomial.

Answer 2

Step-by-step explanation:

this is the correct ans of this question hope it helps you*******