Home
Class 9
MATHS
When a polynomial 2x ^(3) + 3x ^(2) + ax...

When a polynomial `2x ^(3) + 3x ^(2) + ax + b` is divided by `(x-2)` leaves remainder 2, and `(x +2)` leaves remainder -2. Find a and b.

Text Solution

Verified by Experts

The correct Answer is:
`a =-7,b=-12`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise EXERCISE 2.4|10 Videos

  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise EXERCISE 2.5|17 Videos

  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise EXERCISE 2.2|6 Videos

  • LINES AND ANGLES

    NCERT BANGLISH|Exercise THINK, DISCUSS AND WRITE|3 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise DO THIS|3 Videos

Similar Questions

Explore conceptually related problems

If the polynomial p(x)=x^(3)+3x^(2)+3x+1 be divided by (x-pi) , the remainder is

If the polynomials ax ^(3) + 3x ^(2) -13 and 2x ^(3) -5x +a are divided by (x-2) leave the same remainder, find the value of a.

If the polynomials x ^(3) + ax ^(2) + 5 and x ^(3) - 2x ^(2)+a are divided by (x +2) leave the same remainder. Find the value of a.

If the polynomial (x^(3)+4x^(2)+4x-3) be divided by x, what should be the remainder.

If the polynomial p(x)=4x^(4)+4x^(3)-19x^(2)-16x+12 be divided by (x - 2), the remainder is

Determine the values of a and b when the polynomial (ax^(3)+bx^(2)+x-6) is divided by (x - 2), the remainder is 4 and (x + 2) is a factor of the polynomial.

If the polynomial P(a)=x^(2)-2x+a be divided by (x - 3), the remainder is 0. Then a =

Find the remainder when x ^(3) - px ^(2) + 6x -p is divided by x -p.

Remainder of the polynomial 2x^2 + 5x - 6 when it is divided by (2x - 1) is

If P(x)=x^(3)+ax^(2)+6x+a be divided by (x + a), the remainder is -