Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary: b^{2}-8b+7

Caelan

Caelan

Answered question

2021-05-30

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
b28b+7

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-05-31Added 105 answers

Step 1
Given polynomial is b28b+7
To factor the given polynomial.
Solution:
We will use middle term term split method.
In middle term split method, middle term is sum of two factors and product of two factors is equal to product of first and last term.
Factorizing the given polynomial.
b28b+7=b27bb+7
=b(b7)1(b7)
=(b7)(b1)Therefore, b28b+7=(b7)(b1).
Step 2
Hence, required factor is b28b+7=(b7)(b1).

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