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Q: Which linear expression is a factor of this polynomial function?
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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.


What is A polynomial of degree 1 called?

It is a linear expression.


What kind of expression is 2x plus 3?

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


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.


What is y-x5 in slope intercept form?

y - x5 is an expression, not an equation. Furthermore, it is polynomial of order 5 and a non-linear function cannot be expressed in slope-intercept form.


What is the difference between rational function and linear function?

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


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.


What is 3x plus 2 an example of?

It could be a function or a linear expression.


If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?

It will be a cubic polynomial.


What is the slope and y intercept of 5 over 6x minus 1?

That is not a valid equation because the linear expression is not a polynomial. You can't have a variable in the denominator.


Is x minus the square root of 11 a polynomial?

Yes, it is a linear polynomial.


How to identify polynomial?

It is an expression with one variable, which is a linear combination of integral powers of that variable.In simpler words, a polynomial in a variable x consists of a sum of a number of terms of the form axn where a is a number, called the coefficient and n is a positive integer.