RTCNTC said:Precalculus by David Cohen, 3rd Edition
Chapter 1, Section 1.3.
Question 46a.
Factor the expression.
3(x + 5)^3 + 2(x + 5)^2
(x + 5)^2[3(x + 5) + 2]
(x + 5)^2[3x + 15 + 2]
(x + 5)^2[3x + 17]
Correct?
A factor polynomial is a polynomial expression in which all of the terms can be factored into smaller polynomial expressions.
To factor a polynomial, you can use techniques such as grouping, factoring by grouping, difference of squares, or using the quadratic formula.
Finding the roots of a polynomial means finding the values of the variables that make the polynomial equal to zero. These values are also known as the solutions or zeros of the polynomial.
No, not all polynomials can be factored. Some polynomials, such as prime polynomials, cannot be factored any further.
Factoring polynomials is important because it helps us solve equations, find the roots of a polynomial, simplify expressions, and understand the behavior of a polynomial function. It is also a fundamental concept in algebra and is used in various fields of science and engineering.