# Multiplication and division of polynomials

However, the division by a consistent is allowed, because the multiplicative inverse of a non no continuous is likewise a consistent. For instance, x3 +3 x + 5 is a polynomial as its second expression includes division by the variable x in addition since its third expression include an exponent to be not a number. Multiplication as well as Department of Polynomials:

Polynomials show up in a considerable range of locations of mathematics. Instances for Multiplication and Department of Polynomials:

Example 1:

solve reproduction os polynomials (3x-2)( 4×2 +5 x +2)

Remedy:

Action 1: the provided factors are (3x-2)( 4×2 +5 x +2)

Action 2: to reproduction the polynomial

3x( 4×2 +5 x +2) – 2( 4×2 +5 x +2)

Action 3: 12×3 +15 x2 +6 x – 8×2-10x-4

Step 4: 12×3 +7 x2-4x-4

So the solution is 12×3 +7 x2-4x-4

Instance 2:

resolve reproduction os polynomials (2×2 +4 x +6)( 5×2 +3 x +2)

Service:

Step 1: the given variables are (2×2 +4 x +6)( 5×2 +3 x +2)

Action 2: to multiplication the polynomial

2×2 +4 x +6

5×2 +3 x +2

———————————–

10×4 +6 x3 +4 x2

20×3 +12 x2 +8 x

30×2 +18 x +12

—————————————

10×4 +26 x3 +46 x2 +26 x +12

———————————–

Step 3: 10×4 +26 x3 +46 x2 +26 x +12

Step 4: 10×4 +26 x3 +46 x2 +26 x +12

So the solution is 10×4 +26 x3 +46 x2 +26 x +12

Example 3:

Just how to department polynomials ‘( x ^ 2-9)/( x-3)’

Remedy:

Step 1: the provided factors are ‘( x ^ 2-9)/( x-3)’

Action 2: to factorize the term x2-9

Action 3: a2-b2 = (a+ b)( a-b)

Action 4: using this formula for provided equation is

x2-32 = (x +3)( x-3)

Step 5: ‘(( x +3)( x-3))/( x-3)’

Action 6: so the option is (x +3)

Example 4:

Just how to department polynomials ‘( x ^ 2-9)/( x-3)’

Remedy:

Action 1: the offered variables are ‘( x ^ 2 +2 x-15)/( x +5)’

Step 2: to factorize the term x2 +2 x-15

Step 3: x2-3x +5 x-15

Tip 4: for provided equation is

( x +5)( x-3)

Step 5: ‘(( x +5)( x-3))/( x +5)’

Action 6: so the option is (x-3). 