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:
Which of the following best describes a
rational number
A fraction
deo
A Any integer or whole number
B Any decimal or integer
C
All decimals, integers, and whole
numbers
D
Numbers that can be written as
fractions
Answer:
D Numbers that can be written as fractions
Step-by-step explanation:
A rational number is one that can be written as a ratio: a fraction with integer numerator and denominator.
__
The term "decimal" as used here is sufficiently non-specific that we cannot seriously consider it to be part of a suitable answer. A terminating or repeating decimal will be a rational number. A non-terminating, non-repeating decimal will not be a rational number.
While integers and whole numbers are included in the set of rational numbers, by themselves, they do not constitute the best description of the set of rational numbers.
B. 20 pounds
C. 24 pounds
D. 22 pounds