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If x²  7x + a has a remainder 1 when divided by x + 1, then
The remainder when the polynomial p(x) = x^{3} 3x^{2} +2x1 is divided by x2 is
What is remainder when x^{3} – 2x^{2} + x + 1 is divided by (x 1)?
The remainder when x^{4} – 3x^{2} + 5x – 7 is divided by x + 1 is:
Correct Answer : a
Explanation : x + 1 = 0
x = 1
x^{4} – 3x^{2} + 5x – 7
(1)^{4}  3(1)^{2} + 5(1)  7 = 0
1  3  5  7
= 14
If x²  7x + a has a remainder 1 when divided by x + 1, then
The remainder when x^{3} + x^{2}  2x +1 is divided by (x+1) is
for finding the remainder we need to use remainder theorom
let p(x)=x^{3}+x^{2}2x+1
Here, the divisor is x+1 for dividend p(x), we need to equate it to 0 and put that value of x in p(x).
−x+1=0
∴x=−1
p(−1)=(1)^{3}+(−1)^{2}2(−1)+1=3
Hence, remainder=3
For a polynomial p(x) = 2x^{4}  3x^{3} + 2x^{2} + 2x1 what is the remainder when it’s divided by x+4?
Find remainder when x^{3}+1 is divided by x+1
Using Remainder theorem, find the remainder when 3x^{4}  4x^{3}  3x  1 by x  1
By remainder theorem if x1 = 0 then x=1 using it in equation we get p(x)= 3x⁴4x³3x1 p(1)= 3x1⁴4x1³3x11 p(1)= 3431 p(1)= 5
In the division of a cubic polynomial p(x) by a linear polynomial, the remainder is p(2).So, the divisor must be
If x³ + 9x +5 is divided by x, then remainder is
Find the remainder when P(x) = x^{2}  2x is divided by x  2
1/91/3+2 =1/93/918/9 =16/9
Using Remainder Theorem find the remainder when x^{3}  x^{2} + x  1 is divided by x  1
P(x) is a polynomial in x, ‘a’ is a real number. If (xa) is a factor of p(x), then p (a) must be
If p(x) is a polynomial of degree n which is greater than or equal to one and a is any real number which will be the divisor, then there will be two conditions fulfilled: If p (a) =0, then xa is a factor of that polynomial p(x). xa would be the factor of the polynomial if the r(x) i.e. remainder is 0.
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