Select all expressions that are equivalent to \(x-5\).

Here are pairs of equivalent expressions—one in standard form and the other in factored form. Find the missing numbers.

1. \(x^2 +\boxed{\phantom{300}}x + \boxed{\phantom{300}}\) and \((x-9)(x-3)\)
2. \(x^2+12x+32\) and \((x+4)(x+ \boxed{\phantom{300}})\)
3. \(x^2-12x+35\) and \((x-5)(x+ \boxed{\phantom{300}})\)
4. \(x^2 + 5x - 36\) and \((x-4)(x+ \boxed{\phantom{300}})\)

Find all the values for the variable that make each equation true.

1. \(b(b-4.5)=0\)
2. \((7x+14)(7x+14)=0\)
3. \((2x+4)(x-4)=0\)
4. \((\text-2+u)(3-u)=0\)

Technology required. 

When solving the equation \((2-x)(x+1)=11\), Priya graphs \(y=(2-x)(x+1)-11\) and then looks to find where the graph crosses the \(x\)-axis.

Tyler looks at her work and says that graphing is unnecessary and Priya can set up the equations \(2-x=11\) and \(x+1=11\), so the solutions are \(x=\text-9\) and \(x=10\).

1. Do you agree with Tyler? If not, where is the mistake in his reasoning?
2. How many solutions does the equation have? Find out by graphing Priya’s equation.