Factor the polynomial. 16z^{2}-56z+49

Cynthia Bell

Cynthia Bell

Answered question

2021-12-10

Factor the polynomial. 16z256z+49

Answer & Explanation

Corgnatiui

Corgnatiui

Beginner2021-12-11Added 35 answers

Step 1
The given polynomial is,
16z256z+49
Using the algebraic identity,
a22ab+b2=(ab)2
Step 2
On simplifying the given polynomial, we get
16z256z+49=(4z)22(4z)(7)+(7)2
=(4z7)2
=(4z-7)(4z-7)
Therefore, the factorized form of the given polynomial is (4z-7)(4z-7)

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