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Why is a degree 1 polynomial equation ax plus by equals 0 called a linear equation?
Wiki User
∙ 12y ago
A linear equation is one which represents a straight line.
When drawn (y plotted against x), a degree 1 polynomial produces a straight line.
Wiki User
∙ 12y ago
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Why is one degree polynomial equation ax plus by plus c equals 0 called lenear equation?
Yes. This is because the rate of change is equal to a (i.e. the slope is a). a never changes, so its linear.
State the degree of the polynomial equation x to the 5th power plus 7x cubed minus 30x equals 0?
For the equation: x5+7x3-30x=0 The highest exponent in the entire equation is 5 (from x5), so the equation is of degree 5.
Why is a degree one polynomial equation ax plus by plus c equals 0 called a linear equation?
Select any set of values for x. For each one calculate the value of y for which the equation is true. If you plot these points on the x-y plane, they will all lie on a straight line. [The word "linear" refers to line.]
What is the difference between a polynomial and an equation?
Equations will have an equals sign. Such as: x + 3 = 2 Polynomials will not. Such as: 2x + 3
Is the equation 3x-4 equals 12 linear or non linear?
It is a linear equation. The highest power of x in the equation is 1 (3x1-4=12) so its "degree" is 1, and equations of "degree 1" are called linear equations.
Why is one degree polynomial equation ax plus by plus c equals 0 called lenear equation?
Yes. This is because the rate of change is equal to a (i.e. the slope is a). a never changes, so its linear.
What degree polynomial equation is 4x3 plus 7x2 - 4x equals 0?
The "degree" is the highest power - in this case, the 3 in 4x3 (4 times to the third power).
State the degree of the polynomial equation x to the 5th power plus 7x cubed minus 30x equals 0?
For the equation: x5+7x3-30x=0 The highest exponent in the entire equation is 5 (from x5), so the equation is of degree 5.
What Degree of a polynomial is -18x2y2z equals 8x3y-5xz3?
5xZ3
Why is a degree one polynomial equation ax plus by plus c equals 0 called a linear equation?
Select any set of values for x. For each one calculate the value of y for which the equation is true. If you plot these points on the x-y plane, they will all lie on a straight line. [The word "linear" refers to line.]
What is the difference between a polynomial and an equation?
Equations will have an equals sign. Such as: x + 3 = 2 Polynomials will not. Such as: 2x + 3
Is the equation 3x-4 equals 12 linear or non linear?
It is a linear equation. The highest power of x in the equation is 1 (3x1-4=12) so its "degree" is 1, and equations of "degree 1" are called linear equations.
Its y equals 4x3 plus 4x2 a quadratic equation?
Interpreting this equation as y=4x3+4x2 This is not a quadratic equation. By definition, a quadratic equation is a polynomial equation of order two, meaning it is composed only of coefficients multiplied by x's raised to any exponential power of maximum 2. The most that any of the exponents in the equation can be is 2. Since this equation has a term of 4x3, it is not quadratic since this term has an exponent of 3. This means that the equation is of degree three. This equation is a cubic equation.
What is a mathematical equation called that has no equals sign?
If it doesn't have an "equals" sign, then it's not an equation. It's an "expression".
How are the factors of polynomial P of x related to the roots of polynomial equation P of x equals to 0?
If p, q, r, ... are the roots of the equations, then (x-p), (x-q), (x-r), etc are the factors (and conversely).
What kind of polynomial is the one shown F of x equals 15 x squared minus 2.5 plus 3?
F(x) = 15x2 - 2.5 + 3 That's a quadratic or 2nd degree polynomial in x.
What is 15-6 equals 9?
This is called an equation....
