Advertisements
Advertisements
Question
What will the quotient and remainder be on division of ax2 + bx + c by px3 + qx2 + rx + s, p ≠ 0?
Solution
Degree of the polynomial px3 + qx2 + rx + s is 3
Degree of the polynomial ax2 + bx + c is 2
Here, degree of px3 + qx2 + rx + s is greater than degree of the ax2 + bx + c
Therefore, the quotient would be zero
And the remainder would be the dividend = ax2 + bx + c.
APPEARS IN
RELATED QUESTIONS
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
What must be added to the polynomial f(x) = x4 + 2x3 − 2x2 + x − 1 so that the resulting polynomial is exactly divisible by x2 + 2x − 3 ?
Find all the zeros of the polynomial 2x3 + x2 − 6x − 3, if two of its zeros are `-sqrt3` and `sqrt3`
If (x + a) is a factor of `(2x^2 + 2ax + 5x + 10)`, then find the value of a.
Find all zeros of the polynomial 3x3 + 10x2 − 9x − 4 if one of its zero is 1.
Find the quotient and remainder of the following.
(8x3 – 1) ÷ (2x – 1)
Find the quotient and remainder of the following.
(−18z + 14z2 + 24z3 + 18) ÷ (3z + 4)
The area of a rectangle is x2 + 7x + 12. If its breadth is (x + 3), then find its length
The sum of (x + 5) observations is (x3 + 125). Find the mean of the observations
If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x)?
