factor the following expression.\nx² + 8x - 33\n(x - ?)(x + )

Answer:

$(x - 3)(x + 11)$

Explanation:

Step1: Find two numbers

We need two numbers that multiply to -33 and add up to 8.

Step2: List factor - pairs of -33

The factor - pairs of -33 are: (-1, 33), (1, -33), (-3, 11), (3, -11).

Step3: Select the correct pair

The pair (-3, 11) satisfies the condition since -3×11=-33 and -3 + 11 = 8.

Step4: Write the factored form

So, $x^{2}+8x - 33=(x - 3)(x + 11)$.