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What type of number is square root of 41?
The square root of 41 is an irrational , algebraic, real number. It is real, is the root of an polynomial equation with integer coefficients, but can not be expressed as a ratio of integers.
How can you tell if a polynomial is a perfect square?
Let's take a quadratic polynomial. There are three terms in a quadratic polynomial. Example: X^2 + 8X + 16 = 0 To satisfy the criteria of a perfect square polynomial, the first and last term of the polynomial must be squares. The middle term must be either plus or minus two multiplied by the square root of the first term multiplied by the square root of the last term. If these three criteria are satisifed, the polynomial is a perfect square. Let us take the above quadratic. X^2 + 8X + 16 = X^2 + 2(4X) + 4^2 = (X+4)^2 As we can see, each criteria is satified and the polynomial does indeed form a perfect square.
What is the root of a problem?
If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.
What is the difference between a polynomial and radical expression?
A polynomial is an expression of various exponentials of a variable wich may or may nor have coefficients and constants. The coefficients may have a radical, square root, cube root etc, but not the variable. A radical expression is any expression involving square roots, cube roots, etc. These may have the variable inside the radical but do not have to have them. sq root (5) is a radical expression, so is sq root (x) 3x2 + 2x - 9 is a polynomial, so is x + sq root (5)
How to tell if there are no real roots?
The real roots of what, exactly? If you mean a square trinomial, then: If the discriminant is positive, the polynomial has two real roots. If the discriminant is zero, the polynomial has one (double) real root. If the discriminant is negative, the polynomial has two complex roots (and of course no real roots). The discriminant is the term under the square root in the quadratic equation, in other words, b2 - 4ac.
Is the square root of x a polynomial?
No,
Is x minus the square root of 11 a polynomial?
Yes, it is a linear polynomial.
Is the square root of x plus 2 a polynomial?
No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.
Is a polynomial with square root a polynomial?
It is a polynomial if the square root is in a coefficient but not if it is applied to the variable. A polynomial can have only integer powers of the variable. Thus: sqrt(2)*x3 + 4*x + 3 is a polynomial expression but 2*x3 + 4*sqrt(x) + 3 is not.
Is negative 5 to the square root of 4 minus 6 a polynomial?
It depends on whether you take the positive square root of 4 (YES) or the negative square root of 4 (No).
What is the number which when substituted in a polynomial makes its value zero?
A root.
What type of number is square root of 41?
The square root of 41 is an irrational , algebraic, real number. It is real, is the root of an polynomial equation with integer coefficients, but can not be expressed as a ratio of integers.
How can you prove that the square root of two is transcendental?
You can't, because it isn't. The square root of 2 is irrational, but that doesn't make it transcendental. The square root of any positive integer is ALGEBRAIC - and transcendental means "not algebraic".In this case, the square root of 2 is a root of the polynomial equation x squared - 2 = 0; therefore it is algebraic.
How can you tell if a polynomial is a perfect square?
Let's take a quadratic polynomial. There are three terms in a quadratic polynomial. Example: X^2 + 8X + 16 = 0 To satisfy the criteria of a perfect square polynomial, the first and last term of the polynomial must be squares. The middle term must be either plus or minus two multiplied by the square root of the first term multiplied by the square root of the last term. If these three criteria are satisifed, the polynomial is a perfect square. Let us take the above quadratic. X^2 + 8X + 16 = X^2 + 2(4X) + 4^2 = (X+4)^2 As we can see, each criteria is satified and the polynomial does indeed form a perfect square.
Why does every polynomial have a real root?
1+x2 is a polynomial and doesn't have a real root.
What is the root of a problem?
If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.
What is the difference between a polynomial and radical expression?
A polynomial is an expression of various exponentials of a variable wich may or may nor have coefficients and constants. The coefficients may have a radical, square root, cube root etc, but not the variable. A radical expression is any expression involving square roots, cube roots, etc. These may have the variable inside the radical but do not have to have them. sq root (5) is a radical expression, so is sq root (x) 3x2 + 2x - 9 is a polynomial, so is x + sq root (5)
