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What are quadratic polynomial quartic polynomial constant polynomial and quintic polynomial?
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
Classification of polynomial according to the number of terms?
Strictly we do not classify polynomials by the number of terms but by the highest power of the variable (its degree).For example, if x is the variable then a polynomial with highest power...... x0 (degree 0) is a constant e.g. 4x0 = 4... x1 (degree 1) is linear e.g. 2x1 + 5 = 2x + 5... x2 (degree 2) is a quadratic e.g. 3x2 - 2x + 1... x3 (degree 3) is a cubic e.g. 2x3 - 3x2 - 2x + 1... x4 (degree 4) is a quartic e.g. 7x4 + 2x3 - 3x2 - 2x + 1(degree 5) quintic, (degree 6) sextic, (degree 7) septic, (degree 8) octic,...Although it appears as if the degree of a polynomial is always one less than the number of terms, in general this not the case. For example, x3 - 9 is cubic with only 2 terms or 4x8 is an octic with only one term.
What are the two solutions for quadratic equations?
Quadratic curves only have two solutions when the discrimant is greater than or equal to zero.
What is the degree of the polynomial 2st4 plus s2t2 - 9s5t plus 21?
2st4 + s2t2 - 9s5t + 21 The degree of a polynomial with more than one variable is the largest sum of the powers in any single term. So the degree of the given polynomial is 6 (-9s5t1; 5 + 1).
What does degree of a polynomial mean in math?
The degree of a polynomial is just the highest power present. So, look at which power each term is raised to, and whichever one is biggest is the degree of the polynomial. The degree of 5x^2+3x+6 would be two. If you've got more than one variable, like 3x^2y^5+2xy^2, the degree of the first term would be 2+5=7 and the degree of the second term would be 1+2=3, so the degree of the polynomial is 7.
Is A quadratic polynomial has a degree greater than 2?
No. "Quadratic" means degree of 2.
A quadratic polynomial has a degree greater than 2?
true :) apex! * * * * * APEX gets it wrong - again! A quadratic polynomial has degree 2. Not greater than, nor less than but exactly equal to 2.
Is a polynomial of degree zero is a constant term true or false?
True. A polynomial of degree zero is defined as a polynomial where the highest degree term has a degree of zero. This means that the polynomial is a constant term, as it does not contain any variables raised to a power greater than zero. Therefore, a polynomial of degree zero is indeed a constant term.
A polynomial is considered to be quadratic if it contains what?
more than one variable
What is the degree of a polynomial having more than 1 term but with different variables?
The degree of a polynomial is the highest exponent in the polynomial.
When doing polynomial division can there be a remainder of x?
Yes, when performing polynomial division, the remainder can be a polynomial of a lower degree than the divisor. If the divisor is a polynomial of degree 1, such as (x - a), the remainder could be any linear polynomial, including just (x). However, if the divisor has a degree higher than 1, the remainder must be of lower degree than that divisor.
What are quadratic polynomial quartic polynomial constant polynomial and quintic polynomial?
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
Is 7x4-5x 4 quadratic monomial?
7x2 - 5x + 4 is not a monomial because it has more than one term. It is a quadratic polynomial.
What is polynomial division?
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
Can all quadratic expressions be factorised?
Only when the discriminant of the quadratic expression is equal to or greater than zero
What statement must be true of an equation before you can use the quadratic formula to find the solutions?
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
Classification of polynomial according to the number of terms?
Strictly we do not classify polynomials by the number of terms but by the highest power of the variable (its degree).For example, if x is the variable then a polynomial with highest power...... x0 (degree 0) is a constant e.g. 4x0 = 4... x1 (degree 1) is linear e.g. 2x1 + 5 = 2x + 5... x2 (degree 2) is a quadratic e.g. 3x2 - 2x + 1... x3 (degree 3) is a cubic e.g. 2x3 - 3x2 - 2x + 1... x4 (degree 4) is a quartic e.g. 7x4 + 2x3 - 3x2 - 2x + 1(degree 5) quintic, (degree 6) sextic, (degree 7) septic, (degree 8) octic,...Although it appears as if the degree of a polynomial is always one less than the number of terms, in general this not the case. For example, x3 - 9 is cubic with only 2 terms or 4x8 is an octic with only one term.
