SSLC (English Medium) Class 9 - Tamil Nadu Board of Secondary Education Question Bank Solutions

(a + b – c)² is equal to __________

If (x + 5) and (x – 3) are the factors of ax² + bx + c, then values of a, b and c are

Find the quotient and remainder of the following.

(4x³ + 6x² – 23x + 18) ÷ (x + 3)

Find the quotient and remainder of the following.

(8y³ – 16y² + 16y – 15) ÷ (2y – 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 base of a parallelogram is (5x + 4). Find its height if the area is 25x² – 16

The sum of (x + 5) observations is (x³ + 125). Find the mean of the observations

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

(x³ + x² – 7x – 3) ÷ (x – 3)

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

(x³ + 2x² – x – 4) ÷ (x + 2)

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

(3x³ – 2x² + 7x – 5) ÷ (x + 3)

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