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

If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k = ?

If x⁵¹ + 51 is divided by x + 1, then the remainder is

Find all the three angles of the ΔABC

The exterior angle of a triangle is equal to the sum of two

The correct statement out of the following is 

The angles of the triangle are 3x – 40, x + 20 and 2x – 10 then the value of x is

For what value of k is the polynomial p(x) = 2x³ – kx² + 3x + 10 exactly divisible by (x – 2)

If two polynomials 2x³ + ax² + 4x – 12 and x³ + x² – 2x + a leave the same remainder when divided by (x – 3), find the value of a and also find the remainder.

Determine whether (x – 1) is a factor of the following polynomials:

x³ + 5x² – 10x + 4

Determine whether (x – 1) is a factor of the following polynomials:

x⁴ + 5x² – 5x + 1

Using factor theorem, show that (x – 5) is a factor of the polynomial

2x³ – 5x² – 28x + 15

Determine the value of m, if (x + 3) is a factor of x³ – 3x² – mx + 24

If both (x − 2) and `(x - 1/2)` is the factors of ax² + 5x + b, then show that a = b

If (x – 1) divides the polynomial kx³ – 2x² + 25x – 26 without remainder, then find the value of k

Check if (x + 2) and (x – 4) are the sides of a rectangle whose area is x² – 2x – 8 by using factor theorem

If p(a) = 0 then (x – a) is a ___________ of p(x)

If x – 3 is a factor of p(x), then the remainder is

Arrange surds in descending order:

`root(3)(5), root(9)(4), root(6)(3)`

Arrange surds in descending order:

`root(2)root(3)(5), root(3)root(4)(7), sqrt(sqrt(3)`

Can you get a pure surd when you find the sum of two surds Justify answer with an example