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What is the first term of each polynomial?
The first term of a polynomial is the term with the highest degree, typically written in standard form. For example, in the polynomial (3x^4 + 2x^3 - x + 5), the first term is (3x^4). If a polynomial has multiple terms, the first term is determined by the term with the largest exponent of the variable. If the polynomial is expressed in descending order, the first term is simply the first term listed.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
What is a polynomial in standard from?
A polynomial in standard form is when it is written in descending order according to the highest alphabetical variable according to power. In other words the powers of the variable first in the alphabet from greatest to least. So 3a^3+4a^2-1a. ( notice the peers of a )
Explain how you multiply two polynomials?
To multiply two polynomials, you apply the distributive property, also known as the FOIL method for binomials. Each term in the first polynomial is multiplied by each term in the second polynomial. After performing all the multiplications, you combine like terms to simplify the resulting polynomial. Finally, ensure that the polynomial is written in standard form, with terms ordered by decreasing degree.
When simplified and written in standard form which quadratic function is equivalent to the polynomial shown 2 plus 7c and ndash 4c2 and ndash 3c plus 4?
To simplify the polynomial ( -4c^2 + 7c + 2 - 3c + 4 ), first combine like terms. The ( c ) terms are ( 7c - 3c = 4c ), and the constant terms are ( 2 + 4 = 6 ). Thus, the simplified polynomial is ( -4c^2 + 4c + 6 ). In standard form, this quadratic function is written as ( -4c^2 + 4c + 6 ).
What is the first term of each polynomial?
The first term of a polynomial is the term with the highest degree, typically written in standard form. For example, in the polynomial (3x^4 + 2x^3 - x + 5), the first term is (3x^4). If a polynomial has multiple terms, the first term is determined by the term with the largest exponent of the variable. If the polynomial is expressed in descending order, the first term is simply the first term listed.
What is the number in front of the term with the highest degree in a polynomial?
It is the Coefficient. It only refers to the given term that it is front. e.g. 2x^2 - 3x + 1 The '2' in front of 'x^2' only refers to 'x^2'. The '-3' in front of 'x' is the coefficient of '-3' The '1' is a constant.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
What is a polynomial in standard from?
A polynomial in standard form is when it is written in descending order according to the highest alphabetical variable according to power. In other words the powers of the variable first in the alphabet from greatest to least. So 3a^3+4a^2-1a. ( notice the peers of a )
Explain how you multiply two polynomials?
To multiply two polynomials, you apply the distributive property, also known as the FOIL method for binomials. Each term in the first polynomial is multiplied by each term in the second polynomial. After performing all the multiplications, you combine like terms to simplify the resulting polynomial. Finally, ensure that the polynomial is written in standard form, with terms ordered by decreasing degree.
When simplified and written in standard form which quadratic function is equivalent to the polynomial shown 2 plus 7c and ndash 4c2 and ndash 3c plus 4?
To simplify the polynomial ( -4c^2 + 7c + 2 - 3c + 4 ), first combine like terms. The ( c ) terms are ( 7c - 3c = 4c ), and the constant terms are ( 2 + 4 = 6 ). Thus, the simplified polynomial is ( -4c^2 + 4c + 6 ). In standard form, this quadratic function is written as ( -4c^2 + 4c + 6 ).
What is Pearson's first rule of the measure of coefficient of skewness?
skewness=(mean-mode)/standard deviation
Are the two equations -6 plus y equals 2x and 2y-4x equals 12 dependent?
In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).In standard form, -6 + y = 2x is 2x - y + 6 = 02y - 4x = 12 is 4x - 2y + 12 = 0Each coefficient of the second is twice the corresponding coefficient of the first. So the equations are the same (and therefore dependent).
What are the steps in solving polynomial inequalities?
To solve polynomial inequalities, follow these steps: First, rewrite the inequality in standard form by moving all terms to one side. Next, identify the critical points by finding the roots of the corresponding polynomial equation. Then, determine the sign of the polynomial in the intervals between these critical points by testing points from each interval. Finally, express the solution based on the sign of the polynomial in relation to the inequality (e.g., greater than or less than zero).
How do you multiply monomial by a polynomial?
you foil it out.... for example take the first number or variable of the monomial and multiply it by everything in the polynomial...
How do you use a calculator for root coefficient relationships?
To use a calculator for root coefficient relationships, first, identify the polynomial's coefficients from its standard form. For a quadratic equation ( ax^2 + bx + c = 0 ), you can use the relationships ( r_1 + r_2 = -\frac{b}{a} ) and ( r_1 \cdot r_2 = \frac{c}{a} ) to find the sum and product of the roots. Input the coefficients into your calculator to compute these values, which will help you understand the relationships between the roots. For higher-degree polynomials, similar relationships can be derived using Vieta's formulas.
There are some instances where it is better to factor a polynomial without first putting it in standard form One example is a quadratic equation that in nonstandard form contains a perfect tr?
Square :)
