Answer:
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
−2x − 7
2x + 7
−2x2 + 7
2x2 + 7
The common factor that is missing from both sets of parentheses is 2x + 7
To determine the missing factor, we would divide 10x³ + 35x² − 4x− 14 by 5x² – 2 using long division method as illustrated below
2x + 7
5x² – 2|10x³ + 35x² − 4x − 14
–(10x³ – 4x)
35x² – 14
–(35x² – 14)
0
The result obtained from the division is 2x + 7.
Therefore, the missing factor is 2x + 7
(5x² – 2)(2x + 7) = 5x²(2x + 7) – 2(2x + 7)
Learn more about polynomial:
4x^3 - 6x^2 - 28x
show work please