$$ y=x^{2}-18 x+32 $$ Factored Form: $$ \mathrm{y}=(\mathrm{x}+\square)(\mathrm{x}+\mathrm{\square} $$ Note: If subtraction, type a negative number.

Question

UpStudy AI · Accepted Answer

1. We begin with the quadratic function:
   
   $$
   y = x^2 - 18x + 32
   $$
   
2. To factor it, we need two numbers that multiply to $$ 32 $$ (the constant term) and add to $$-18$$ (the coefficient of $$ x $$).

3. The numbers $$-2$$ and $$-16$$ satisfy these conditions since:
   
   $$
   (-2) \times (-16) = 32 \quad \text{and} \quad (-2) + (-16) = -18
   $$
   
4. Thus, the quadratic can be factored as:
   
   $$
   y = (x - 2)(x - 16)
   $$
   
5. Expressing in the requested format:
   
   $$
   y = \left(x + (-2)\right)\left(x + (-16)\right)
   $$
$$ y = (x - 2)(x - 16) $$

\( y=x^{2}-18 x+32 \) Factored Form: \( \mathrm{y}=(\mathrm{x}+\square)(\mathrm{x}+\mathrm{\square} \) Note: If subtraction, type a negative number.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions