Find a value for c so that the polynomial y^2 + 10y + c factors to (y+5)^2

Vukung asked Dec 26, 2023

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Vukung asked Dec 26, 2023

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21 votes

Notice that

$\begin{gathered} (y+5)^2=y^2+10y+25 \\ \text{and} \\ y^2+10y+c=(y+5)^2 \\ \Rightarrow y^2+10y+c=y^2+10y+25 \\ \Rightarrow c=25 \end{gathered}$

Then, the answer is c=25.

Sam Simmons answered Dec 31, 2023

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