Textbook Question
Factor each polynomial completely. See Example 6. 4m²p - 12mnp + 9n²p
486
views
0. Review of College Algebra
Solving Linear Equations
1:25 minutesProblem 49
Textbook Question
Give (a) the additive inverse and (b) the absolute value of each number. 6
Verified step by step guidance1
Identify the given number, which is 6 in this case.
Recall that the additive inverse of a number is the number that, when added to the original number, results in zero. Mathematically, the additive inverse of a number \(x\) is \(-x\).
Apply this to the number 6: the additive inverse is \(-6\).
Recall that the absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative. The absolute value of \(x\) is denoted as \(|x|\).
Apply this to the number 6: the absolute value is \(|6| = 6\).
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Additive Inverse
The additive inverse of a number is the value that, when added to the original number, results in zero. For any real number x, its additive inverse is -x. This concept is fundamental in solving equations and understanding number operations.
Recommended video:
4:49
Inverse Cosine
Absolute Value
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative. For a number x, the absolute value is denoted |x| and equals x if x is positive or zero, and -x if x is negative.
Recommended video:
7:28Evaluate Composite Functions - Values Not on Unit Circle
Real Numbers
Real numbers include all rational and irrational numbers, encompassing positive, negative, and zero values. Understanding that 6 is a real number helps apply the concepts of additive inverse and absolute value correctly within the real number system.
Recommended video:
3:31Introduction to Complex Numbers
Related Videos
Related Practice