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Give an example of a polynomial with 4 terms, constant of -5 and degree of 3

Sagot :

Answer:

polynomial with 4 terms?

- A polynomial of four terms, known as a quadrinomial, can be factored by grouping it into two binomials, which are polynomials of two terms. ... Group the quadrinomial into two groups of binomials. In the example, the quadrinomial 3x^3 - 3x^2 + 5x - 5 can be written as the binomials 3x^3 - 3x^2 and 5x - 5.

Constant of -5?

In mathematics, a constant is a specific number or a symbol that is assigned a fixed value. For example, in the equation below, "y" and "x" are variables, while the numbers 2 and 3 are constants. Constants are also used in computer programming to store fixed values.

degree of 3?

A cubic equation is an algebraic equation of third-degree.

The general form of a cubic function is: f (x) = ax3 + bx2 + cx1 + d. And the cubic equation has the form of ax3 + bx2 + cx + d = 0, where a, b and c are the coefficients and d is the constant.

A polynomial looks like this:

2x^4 + 6x - 5 (all lines under the numbers called " terms")

polynomial example

example of a polynomial

this one has 3 terms

The Degree (for a polynomial with one variable, like x) is:

the largest exponent of that variable.

4x^3 + 2x^2 - 7 (do you see the 3 that is makes the degree 3)

i don't know the constant sorry.

Names of Degrees

When we know the degree we can also give it a name!

Degree Name Example

0 Constant     7

1 Linear         x+3

2 Quadratic x^2−x+2

3 Cubic         x^3−x^2+5

4 Quartic        6x^4−x^3+x−2

5 Quintic        x^5−3x^3+x^2+8

Example: y = 2x + 7 has a degree of 1, so it is a linear equation

Example: 5w2 − 3 has a degree of 2, so it is quadratic

More Examples:

4x   The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

4x3 − x + 3   The Degree is 3 (largest exponent of x)

x2 + 2x5 − x   The Degree is 5 (largest exponent of x)

z2 − z + 3   The Degree is 2 (largest exponent of z)