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A polynomial with a degree of one, of the form y = ax + b, where a and b are constants.
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Why linear polynomial cannot be factorised?
It can: For example, the linear polynomial 2x + 4 can be factorised into 2 times (x+2) So the question is inappropriate.
What is A polynomial of degree 1 called?
It is a linear expression.
Why is a degree 1 polynomial equation ax plus by equals 0 called a linear equation?
A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.
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.
If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?
It will be a cubic polynomial.
Is x minus the square root of 11 a polynomial?
Yes, it is a linear polynomial.
What is the definition for linear form?
Linear Form is a homogeneous polynomial of the first degree.
Why linear polynomial cannot be factorised?
It can: For example, the linear polynomial 2x + 4 can be factorised into 2 times (x+2) So the question is inappropriate.
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.
Classify the polynomial by its degree and by the number of terms.5m?
linear monomial
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.
Why is a degree 1 polynomial equation ax plus by equals 0 called a linear equation?
A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.
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.
