The example for multiplication and factoring of polynomials is x²+12x+36.
Using an example, It is to determine how multiplication and factoring of polynomials are related.
What are the factors?
Factors can be defined by splitting the value into multipliable values.
The polynomial equation can be expressed in multiply factor form and an unfactored form by using the mathematical laws of associative law, commutative law, and distributive law properties. product and factoring, in the polynomial expression, are reverse operations. That is, one operation reverses the other.
Example,
= x²+ 12x + 36
= x² + 6x + 6x + 36
= x(x+6) + 6(x+6)
= (x+6)(x+6)
= (x+6)²
(x+6), (x+6) is factor of polynomial x²+ 12x + 36 when multiply (x+6) with (x+6) it reverses the process and gives polynomial x²+ 12x + 36.
Thus, the example for multiplication and factoring of polynomials is x²+12x+36.
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