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What is the degree of the polynomial 7x plus 5?
The degree of the polynomial (7x + 5) is 1. This is because the highest exponent of the variable (x) in the expression is 1. The term (7x) is the only term that contributes to the degree, while (5) is a constant term with a degree of 0.
Can x-5 be a remainder on division of a polynomial px by 7x 2 justify your answer?
Yes, ( x - 5 ) can be a remainder when dividing a polynomial ( p(x) ) by ( 7x^2 ). According to the polynomial remainder theorem, the remainder of a polynomial division by a polynomial of degree ( n ) will have a degree less than ( n ). Since ( 7x^2 ) is a polynomial of degree 2, the remainder can be of degree 1 or less, which means it can indeed be of the form ( x - 5 ).
What degree is the polynomial 35-6x2 plus 7x3 plus 5x?
7X^3 Third degree polynomial.
What is the degree of 7x6-6x5 2x3 x-8?
To find the degree of the polynomial (7x^6 - 6x^5 + 2x^3 - 8), we identify the highest power of (x) present in the expression. The highest power is (x^6), which corresponds to the term (7x^6). Therefore, the degree of the polynomial is 6.
What polynomial lists the powers in descending order?
A polynomial that lists the powers in descending order is called a "standard form" polynomial. For example, the polynomial ( 4x^3 - 2x^2 + 7x - 5 ) is in standard form because the terms are arranged from the highest degree ( (4x^3) ) to the lowest degree ( (-5) ). This format makes it easier to analyze and perform operations with the polynomial.
What is the degree of the polynomial 7x plus 5?
The degree of the polynomial (7x + 5) is 1. This is because the highest exponent of the variable (x) in the expression is 1. The term (7x) is the only term that contributes to the degree, while (5) is a constant term with a degree of 0.
Can x-5 be a remainder on division of a polynomial px by 7x 2 justify your answer?
Yes, ( x - 5 ) can be a remainder when dividing a polynomial ( p(x) ) by ( 7x^2 ). According to the polynomial remainder theorem, the remainder of a polynomial division by a polynomial of degree ( n ) will have a degree less than ( n ). Since ( 7x^2 ) is a polynomial of degree 2, the remainder can be of degree 1 or less, which means it can indeed be of the form ( x - 5 ).
What degree is the polynomial 35-6x2 plus 7x3 plus 5x?
7X^3 Third degree polynomial.
What is meant by the degree of a monomial and polynomial?
The degree is the highest power of the variable that appears in it.(x2 + x + 9) is a second degree polynomial(Q4 - 72) is a fourth degree polynomial( z ) is a first degree monomialSo the degree of a polynomial in one variable is the highest power of the variable.For example, [ 2x3 - 7x ] has degree 3.The degree of a polynomial in two or more variables is the greatest sum of theexponents in any single term.For example, [ 5m3 + m2n - mn2 ] has degree 4.And a degree of a monomial is the sum of the exponents of its variables.For example, [ 4a2b3 ] has degree 5.
What are the factor as a polynomial in descending order 2x2 7x 5?
If you mean: 2x2+7x+5 then it is (2x+5)(x+1) when factored
-1) 2 7 5 What is the quotient in polynomial form?
To divide the polynomial (2x^2 + 7x + 5) by a linear polynomial, you typically use polynomial long division or synthetic division. However, since you didn't specify a divisor, I'll assume you're asking for the quotient of (2x^2 + 7x + 5) divided by (1), which is simply the polynomial itself: (2x^2 + 7x + 5). If you meant a different divisor, please specify for a more accurate answer.
What is the Classification of 7x plus 9x plus 4?
The expression (7x + 9x + 4) can be classified as a polynomial. Specifically, it is a first-degree polynomial or linear polynomial because the highest power of the variable (x) is 1. By combining like terms, it simplifies to (16x + 4).
What is the factor polynomial of 4x2-7x-15?
(4x + 5)(x - 3)
Write each factor as a polynomial in descending order 14x2 - 39x - 35?
(7x + 5)(2x - 7)(2x-7)(7x+5)
What kind of polynomial is shown 0.2x4 - 5x2 - 7x?
I am assuming this is: .2x4 - 5x2 - 7x, which would be a Quartic Polynomial.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
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.
