Question

Please answer this if you can thank you :))

Answer 1

Answer:

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.