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

Find a value for c so that the polynomial y^2 + 10y + c factors to (y+5)^2-example-1
User Donato Amasa
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1 Answer

3 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.

User Niasia
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