Apolynomialis an expression with two or more (poly) terms (nomial). Polynomials often need to be factored in order to be solved. In this case, factoring means to organize or simplify. Many people are comfortable multiplying terms together and even using theF.O.I.L. (first, outside, insi...
Example 1: Determine the leading coefficient and the degree of the polynomial of the following polynomial 5x2 - 20x - 20. Solution: Given a polynomial expression, 5x2 - 20x - 20. The highest exponent of the variable x is 2, and so the degree of the polynomial is 2. The coefficient w...
(2x + 2) = 2 (x + 1) Here it can be seen that there was a 2 in both of the original terms so it can be divided out. Then it is still theequivalent expression. x3−x2+x=x(x2−x+1)Here it can be seen that there was an x that could be taken out of all three terms...
Example 2:Find the zeros of f(x) = 4x - 8. Solution: f(x) = 4x - 8 To find its zeros, set theequationto 0. 4x - 8 = 0 4x = 8 x = 8/4 = 2 Answer:The zero of the polynomial function f(x) = 4x - 8 is 2. ...
Answer and Explanation:1 We know that if {eq}P(x) {/eq} is a polynomial function, then {eq}\lim_{x \to x_0} P(x)=P(x_0) {/eq}. In our case, since {eq}p(x) {/eq} is a... Learn more about this topic: Limit of a Function | Definition, Rules ...
, cubic equation, etc. for example, 2x+5 is a polynomial that has exponent equal to 1. study mathematics at byju’s in a simpler and exciting way here. a polynomial function, in general, is also stated as a polynomial or polynomial expression, defined by its degree. the degree of any...
For example, a linear polynomial has one root and a quadratic polynomial has two roots. Answer and Explanation:1 Given:- $$\begin{align} y & = (x-8)(x+3)^2\[0.3cm] y & = (x-8)(x^2+9+6x)\[0.3cm] y & = (x^3+9x+6x^2-8x^2-72-48x)\[...
Example ( )How many TPs can the graph of a 3rd-degree polynomial f x have? Solution The degree is odd, so there must be an even number of TPs. ( )The degree is 3, so # of TPs ≤ 2 . Answer: The graph can have either 0 or 2 TPs. Observe that the graph for x3 on the ...
A mathemtical method of calculating the factor of a mathematical expression, polynomial or a number by which we can divide the expression, or number is represented by the term factorization. For example, the factor of the functionf(x)=4x2−1is(2x−1)(2x+1), or factor of numb...
(gcf), the grouping method, the difference in two squares, and the sum or difference in cubes. q4 how to factor a polynomial with two terms? to factorise the polynomial with two terms, find the gcf of the terms and take the common factor out. for example, x 2 –x is the polynomial...