Question

Please answer this if you can thank you :))

Answer 1

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1)
`4x^3` .

The degree is 3.

2)
`x^2+4`.

The degree is 2.

3)
`x-2`

The degree is 1.

B column:

1)
`2x^2+1`

The degree is 2.

2)
`x^2-x`

The degree is 2.

3)
`x^3-5x^2+1`

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1)
`(4x^3)(2x^2+1)`.

=
`8x^5+4x^3.`

The degree is 5.

2)
`(x^2+4)(x^2-x)`.

=
`x^4-x^3+4x^2-4x`.

The degree is 4.

3)
`(x-2)(x^3-5x^2+1)`.

`=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.`

The degree is 4.