6. Vicky factored 30x2 + 76x + 48 as follows:

Question

Line 1 30x2 + 76x + 48
Line 2 30x2 + 36x + 40x + 48
Line 3 6x(5x + 6) + 8(5x +6)
Line 4 (6x + 8)(5x + 6)
A. factored Did Vicky completely factor the polynomial? Justify your response by explaining why it is is completely or by showing the correct solution if it is not factored completely.
B. Would the problem produce a different result if Line 2 was written as 30x2 + 40x + 36x + 48? Explain why or why not.

Answer 1

B.

line 2:
30x^2+40x + 36x+ 48
10x(3x+4) + 12(3x+4)

(10x+12)(3x+4)
2(5x+6)(3x+4)

now answer a).