Answer:
x³ + 10x² + 1
Step-by-step explanation:
To rewrite the given polynomial in standard form, we need to arrange the terms in descending order of the exponent of the variable. The standard form of a polynomial is the form where the terms are written from highest to lowest degree.
The given polynomial is:
10x² + 1 - x³
To rewrite it in standard form, we first rearrange the terms in descending order of the exponent:
∴ x³ + 10x² + 1
Now the polynomial is in standard form.
Additional Information:
Polynomial: A polynomial is a mathematical expression that consists of variables (like x), coefficients (numbers), and non-negative integer exponents. The standard form of a polynomial is written with the terms in descending order of the exponents.
Degree of a polynomial: The degree of a polynomial is the highest exponent of the variable in that polynomial. In the given polynomial, the term with the highest degree is -x^3, so the degree of the polynomial is 3.
Exponent: The exponent of a term indicates the number of times the variable is multiplied by itself. For example, x^3 means x · x · x.
Coefficient: The coefficient is the number that multiplies the variable in each term. For example, in the term 10x^2, the coefficient is 10.
Descending order: When arranging the terms of a polynomial in descending order, we write the term with the highest degree first, followed by the term with the second-highest degree, and so on, until we reach the constant term (a term without a variable).
The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10 then the value of y is 12 when x =6.
The two points from the given information are (0, 4) and (3, 10).
Let us find the
=6/3
=2
Now let us find the y intercept to write the equation in slope intercept form.
Consider the point (0, 4) to find y intercept.
Plug in the point values in slope intercept form:
4=2(0)+b
Solve for b:
b=4
The equation in slope intercept form is y=2x+4.
Now let us find the value of y when x=6.
Plug in x as 6 in the equation y=2x+4.
y=2(6)+4
y=12+4
y=16
Hence, the value of y is 16 when x is 6.
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We know x+y=0; so, if x=6 y= -6
90
120
What is the answer please help.
Thank you
Answer:
Step-by-step explanation:
From coordinate geometry we know that, slope is ratio of vertical change rise and the horizontal change run.
Mathematically,
Putting the given values,