Mark multiplied the expression 3x2−276x+30⋅x2+9x+20x2−x−12

Question

incorrectly.
First, Mark factored each of the polynomial expressions: 3(x+3)(x−3)6(x+5)⋅(x+5)(x+4)(x+3)(x−4)
.

Next, Mark divided out common factors and got the answer: x+32
.

Determine Mark’s error.

Option #1: Mark factored incorrectly.

Option #2: Mark divided out common factors incorrectly.

Option #3: Mark did not fully simplify the expression.

Answer 1

Option #1: Mark factored incorrectly.

Mark factored the expression correctly. The error occurred in the division step where he obtained the incorrect answer of x+32.