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Q
QuestionMathematics

Factor completely: x^2 −10x+ 25
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Answer

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Step 1:
: Identify the coefficients a, b, and c in the quadratic equation 1$.

In this equation, 1$.

Step 2:
: Calculate the discriminant 1$.

\begin{aligned} D &= (- 10)^2 - 4(1)(25) \ &= 100 - 100 \ &= 0 \end{aligned}

Step 3:
: Since the discriminant 1$ is 0, the quadratic factors into two identical linear factors.

&= \frac{10}{2} \
\begin{aligned} &= 5 \end{aligned} Therefore, the quadratic factors completely as 1$.

Final Answer

The factorization of 1$.