Advertisements
Advertisements
Question
Find the remainder when x3 + 3x2 + 3x + 1 is divided by `x - 1/2`
Advertisements
Solution 1
Let p(x) = x3 + 3x2 + 3x + 1
`x-1/2 = 0 ⇒ x = 1/2`
`therefore "Remainder "= (1/2)^3 + 3(1/2)^2 + 3(1/2) + 1`
`= 1/8 +3/4+3/2+1`
`= 27/8`
Therefore, the remainder is `27/8" ."`
Solution 2
By long division,
Therefore, the remainder is `27/8" ."`
APPEARS IN
RELATED QUESTIONS
Find 'a' if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leaves the same remainder when divided by x + 3.
Find ‘a‘ if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leave the same remainder when divided by x + 3.
When x3 + 3x2 – mx + 4 is divided by x – 2, the remainder is m + 3. Find the value of m.
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
Use the Remainder Theorem to factorise the following expression:
2x3 + x2 – 13x + 6
Given f(x) = ax2 + bx + 2 and g(x) = bx2 + ax + 1. If x – 2 is a factor of f(x) but leaves the remainder – 15 when it divides g(x), find the values of a and b. With these values of a and b, factorise the expression. f(x) + g(x) + 4x2 + 7x.
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x + 3
When 2x3 – 9x2 + 10x – p is divided by (x + 1), the remainder is – 24.Find the value of p.
When a polynomial f(x) is divided by (x – 1), the remainder is 5 and when it is,, divided by (x – 2), the remainder is 7. Find – the remainder when it is divided by (x – 1) (x – 2).
Find the remainder when 3x3 – 4x2 + 7x – 5 is divided by (x + 3)
