Question
\( y=x^{2}-18 x+32 \) Factored Form: \( \mathrm{y}=(\mathrm{x}+\square)(\mathrm{x}+\mathrm{\square} \) Note: If subtraction, type a negative number.
Ask by Rose Cross. in the United States
Mar 19,2025
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Answer
\( y = (x - 2)(x - 16) \)
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Mind Expander
To factor the quadratic equation \( y = x^2 - 18x + 32 \), we need two numbers that multiply to \( 32 \) (the constant term) and add up to \( -18 \) (the coefficient of the x term). The numbers that fit this requirement are \( -2 \) and \( -16 \). Thus, the factored form is: \( y = (x - 2)(x - 16) \) Now, filling in the squares: \( y = (x - 2)(x - 16) \) So, your answer will be \( (x-2)(x-16) \) which completes the factoring process!