find the factors of p sq -10 p +25
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Answer:
5 and 5
Step-by-step explanation:
Given polynomial -
- p² - 10p + 25
We can find the factors of the given quadratic polynomial by splitting its middle term. To split its middle term, we need two numbers such that their sum is (-10) and product is 25. Such two numbers can be (-5, - 5).
Here we go ;
⇒ p² - 10p + 25
⇒ p² - 5p - 5p + 25
⇒ p ( p - 5 ) - 5 ( p - 5 )
⇒ ( p - 5 ) ( p - 5 )
Now,
⇒ p = 5 or p = 5.
Hence, the factors are 5 and 5.
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