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What is the degree if this polynomial 3x² - 4x plus 9?
3x² - 4x + 9 is a polynomial of degree 2.
What is the degree of this polynomial 4x2-3x 14-5x2 3x-7?
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What is the degree of x4 and ndash 3x plus 2?
The expression ( x^4 - 3x + 2 ) contains three terms: ( x^4 ), ( -3x ), and ( 2 ). The degree of a polynomial is determined by the highest power of the variable ( x ) present in the expression. In this case, the term ( x^4 ) has the highest degree, which is 4. Therefore, the degree of the polynomial ( x^4 - 3x + 2 ) is 4.
Is the highest degree of any of the terms in the polynomial?
Yes, in a polynomial, the highest degree is determined by the term with the greatest exponent on its variable. For example, in the polynomial (3x^4 + 2x^2 - 5), the highest degree is 4, which comes from the term (3x^4). The degree of a polynomial is significant as it influences the polynomial's behavior and the number of roots it can have.
What is the degree of an expression?
The degree of an expression, particularly in the context of polynomials, refers to the highest power of the variable within that expression. For example, in the polynomial (3x^4 + 2x^2 - x + 5), the degree is 4 because the term with the highest exponent is (3x^4). In general, for expressions that are not polynomials, the concept of degree may vary or not apply in the same way.
What is the degree if this polynomial 3x² - 4x plus 9?
3x² - 4x + 9 is a polynomial of degree 2.
What is the degree of this polynomial 4x2-3x 14-5x2 3x-7?
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What is the degree of 5 plus 6x2 plus 3x-7x3 plus x6?
5 + 6x² + 3x - 7x³ + x6 would have the degree of 6.
What is the degree of x4 and ndash 3x plus 2?
The expression ( x^4 - 3x + 2 ) contains three terms: ( x^4 ), ( -3x ), and ( 2 ). The degree of a polynomial is determined by the highest power of the variable ( x ) present in the expression. In this case, the term ( x^4 ) has the highest degree, which is 4. Therefore, the degree of the polynomial ( x^4 - 3x + 2 ) is 4.
What is the greatest degree of terms in a polynomial?
The degree is the term with the greatest exponent So in 3x^2 + 5x + 7 The degree is 2 since the highest exponent is 2 If there is no power sign assume that the number is to the 1 power 3x^2 + 5x + 7 can also be written as 3x^2 + 5x^1 + 7^1 ^ = power of
Is the highest degree of any of the terms in the polynomial?
Yes, in a polynomial, the highest degree is determined by the term with the greatest exponent on its variable. For example, in the polynomial (3x^4 + 2x^2 - 5), the highest degree is 4, which comes from the term (3x^4). The degree of a polynomial is significant as it influences the polynomial's behavior and the number of roots it can have.
What is the definition of a degree of a polynomial?
The degree of a polynomial is the sum of all of the variable exponents. For example 6x^2 + 3x + 2 has a degree of 3 (2 + 1).
What is A polynomial of degree 1.?
That means that the monomial of the highest degree has a degree higher than 1. For example: x + 5 3x - 7 -27x + 8
What is the degree of this polynomial 3x to the 2nd power - 4x plus 9?
The highest power of the variable is 2, so it is a second degree polynomial.
What is degree of monomial?
The degree of a monomial is the sum of the exponents of its variables. For example, in the monomial (3x^2y^3), the degree is (2 + 3 = 5). If a monomial has no variables, such as the constant (7), its degree is considered to be (0).
What is The largest exponent which is shown in a polynomial is?
The largest exponent in a polynomial is referred to as its degree. The degree of a polynomial indicates the highest power of the variable present in the expression. For example, in the polynomial (3x^4 + 2x^3 - x + 7), the degree is 4, corresponding to the term (3x^4). The degree plays a crucial role in determining the polynomial's behavior and the number of possible roots.
What is the quotient when (x 3) is divided into the polynomial 2x2 3x - 9?
To find the quotient when (2x^2 + 3x - 9) is divided by (x^3), we note that the degree of the divisor (x^3) is greater than the degree of the dividend (2x^2 + 3x - 9). Therefore, the quotient is (0) since (x^3) cannot divide (2x^2 + 3x - 9) without resulting in a fractional expression.
