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Q: How many degrees does a linear polynomial have?
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If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?

It will be a cubic polynomial.


Why might it be useful to know the linear factors of a polynomial function?

It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.


How does knowing one linear factor of a polynomial help find the other factors?

If you know one linear factor, then divide the polynomial by that factor. The quotient will then be a polynomial whose order (or degree) is one fewer than that of the one that you stared with. The smaller order may make it easier to factorise.


A fourth degree polynomial that has five terms could have five linear factors.?

No, if it is of degree 4, it can have 4 linear factors, regardless of the number of terms.For example, x squared + 5x + 6 = (x+3)(x+2). The unfactored polynomial has three terms, and is of degree 2. Similarly, you can multiply four linear terms together; and you will get a polynomial of degree 4, which has up to 5 terms.


What is the opposite of a linear relationship?

It is non-linear relationship. This could be a polynomial relationship where the polynomial is of order > 1. Or it could be any other algebraic, trigonometric, exponential, logarithmic, hyperbolic, etc relationship. It could be a step relationship, or could even be a random mapping.


When can you say that an algebraic expression is a polynomial?

A polynomial is a linear combination of non-negative integer powers of a variable. A linear combination means you can multiply the terms by constant numbers before summing them. The terms can consists of only positive integer powers of the variable or a constant.


Different types of functions in maths?

Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.


What is an equation with only variables?

There is no specific name. It could be a linear or more complicated polynomial equations, it could be trigonometric, exponential or any one of many other types. It could be a combination of these


What is the difference between rational function and linear function?

t is the diffrence between a rational funcrion and a linerar and polynomial function


What kind of expression is 2x plus 3?

It isa linear expression,a binomial expression,an algebraic expression,a polynomial expression.


The linear equation that relates Celsius to Fahrenheit is as follow oF 1.8 oC?

Here is the linear equation for conversion: Degrees C = (degrees F - 32) / 1.8 Degrees F = degrees C × 1.8 + 32


Use of probability in logarithmic relations?

None. If you have an exact relationship - whether it is linear, polynomial, logarithmic or whatever - probability has no role to play.