Chapter 1.3, Problem 7E

Solution

To find: The factor of the expression, $p^2+2p+4$ .

  $p^2+2p+4$ cannot be factored.

Given information:

The expression, $p^2+2p+4$ .

Concept used:

To factor an expression of the form $x^2+bx+c$ , split the coefficient $b$ as sum of two real numbers such that their product equals $c$ .

Calculation:

Factor the expression, $p^2+2p+4$ .

Observe that coefficient 2 cannot be expressed as sum of two numbers such that their product equals 4. So, the expression $p^2+2p+4$ cannot be factored.

Conclusion:

The expression $p^2+2p+4$ cannot be factored.