Explanation

Odd function: F(-x) = -F(x) → F(x) + F(-x) = 0

Even function: F(-x) = F(x) → F(x) + F(-x) = 2F(x)

Here we have F(x) + F(-x) = 6, a constant

That means the function is symmetric about y = 3

So we call it constant symmetric form.

Last verified on 21-06-2026

Explanation

When a value of x is given, we replace x in the polynomial and simplify to get the result.

This is called evaluation of a polynomial.

Last verified on 21-06-2026

Explanation

Equation 2x² − 3x − 2 = 0  

Break -3x into -4x + 1x because 2 × -2 = -4 and -4 + 1 = -3  

So 2x² − 4x + 1x − 2 = 0  

Take 2x common from first two terms → 2x(x − 2)  

Take 1 common from last two terms → 1(x − 2)  

Now we get (2x + 1)(x − 2) = 0  

If two things multiply to 0, one of them is 0  

So 2x + 1 = 0 gives x = -1/2  

And x − 2 = 0 gives x = 2

Final: x = 2, −1/2

Last verified on 20-06-2026

Explanation

Matrix multiplication is Associative → (AB)C = A(BC)

Last verified on 17-06-2026

Explanation

The identity matrix has all diagonal elements as 1 and is full rank.

All its rows/columns are linearly independent.

Therefore, a 3 × 3 identity matrix has rank 3.

Last verified on 17-06-2026