if the first factor of a polynomial that resembles a difference of two squares is b + 17, the other factor should be b + 17​

Sagot :

Answer with Step-by-step explanation:

The "difference of two squares" is the product of "sum and difference of two terms".  

Hence, sum and difference of two terms are factors of the difference of two squares.

If the polynomial is a difference of two squares a² - b², then its factors are:

  • (a + b)   sum of two terms;  and
  • (a  - b)   difference of two terms.

Factors of difference of two squares:

  • First factor (given):  b + 17   (sum of two terms)
  • Second factor:  b - 17    (difference of two terms)

Therefore, the statement is wrong.  The other factor is b - 17.

The polynomial product difference of two squares is  b² - 289.