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Factor 5z2 + 19z - 4.
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3 votes
Factor 5z2 + 19z - 4.

User RemusS
by
8.2k points

1 Answer

4 votes

Answer:


\huge\boxed{5z^2+19z-4=(z+4)(5z-1)}

Explanation:


5z^2+19z-4=5z^2+20z-z-4\\\\\qquad\text{use the distributive property}:a(b+c)=ab+ac\\\\=5z(z+4)-1(z+4)\\\\\qquad\text{use the distributive property}:a(b+c)=ab+ac\\\\=5z\underbrace{(z+4)}_(a)-1\underbrace{(z+4)}_(a)=(z+4)(5z-1)

User Eric Nord
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