Chapter 8.6, Problem 67SR

To determine

To Find: The polynomial, if possible, and if the polynomial cannot be factored, the prime is to be written

Answer to Problem 67SR

The factored form is: $(1+10p)(1-10p)$

Explanation of Solution

Given information:

The polynomial expression is:

  $1-100p^2$

Calculation:

Here the polynomial expression is:

  $1-100p^2$

The strategy is to factor the polynomial, if possible, and if the polynomial cannot be factored, the prime is to be written.

The polynomial expression can be factored as below:

  $1-100p^2$

  $=1^2-{(10p)}^2$

  $=(1+10p)(1-10p)$

Hence, the factored form is: $(1+10p)(1-10p)$