Question
Factor the given polynomial
Select the correct choice below and, if necessary, fill in the answer box within yo
A.
- B. The polynomial is prime.
A.
Ask by Garrett Harris. in the United States
Jan 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The polynomial
factors to
.
Solution
To factor the polynomial
, we look for two numbers that multiply to 20 and add up to -9.
-
Identify the factors of 20:
-
-
Determine which pair adds up to -9:The pair
and satisfies both conditions. -
-
Write the factored form:
Correct Choice:
A.
Choice B is incorrect because the polynomial is not prime; it can be factored as shown above.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To factor the polynomial
, we look for two numbers that multiply to 20 (the constant term) and add up to -9 (the coefficient of the x term). The numbers -4 and -5 fit the bill since
and
. Thus, we can rewrite the polynomial as:
So, the correct choice is:
A.