SSLC (English Medium) कक्षा ९ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Find the quotient and remainder for the following using synthetic division:

(8x⁴ – 2x² + 6x + 5) ÷ (4x + 1)

If the quotient obtained on dividing (8x⁴ – 2x² + 6x – 7) by (2x + 1) is (4x³ + px² – qx + 3), then find p, q and also the remainder

If the quotient obtained on dividing 3x³ + 11x² + 34x + 106 by x – 3 is 3x² + ax + b, then find a, b and also the remainder

Factorise the following polynomials using synthetic division:

x³ – 3x² – 10x + 24

Factorise the following polynomials using synthetic division:

2x³ – 3x² – 3x + 2

Factorise the following polynomials using synthetic division:

 – 7x + 3 + 4x³

Factorise the following polynomials using synthetic division:

x³ + x² – 14x – 24

Factorise the following polynomials using synthetic division:

x³ – 7x + 6

Factorise the following polynomials using synthetic division:

x³ – 10x² – x + 10

Find the G.C.D for the following:

P⁵, P¹¹, P⁹ 

Find the G.C.D for the following:

4x³, y³, z³

Find the G.C.D for the following:

9a²b²c³, 15a³b²c⁴

Find the G.C.D for the following:

 64x⁸, 240x⁶

Find the G.C.D for the following:

ab²c³, a²b³c, a³bc²

Find the G.C.D for the following:

35x⁵y³z⁴, 49x²yz³, 14xy²z²

Find the G.C.D for the following:

25ab³c, 100a²bc, 125ab

Find the G.C.D for the following:

3abc, 5xyz, 7pqr

Find the G.C.D of the following:

(2x + 5), (5x + 2)

Find the G.C.D of the following:

a^m+1, a^m+2, a^m+3  

Find the G.C.D of the following:

2a² + a, 4a² – 1