0
No,
What else can I help you with?
Is it possible to find a polynomial of degree 3 that has -2 as its only real zero?
5
What is a root in a polynomial graph?
A root is the value of the variable (usually, x) for which the polynomial is zero. Equivalently, a root is an x-value at which the graph crosses the x-axis.
Factor the polynomial x2-x-35?
Every polynomial defines a function, often called P. Any value of x for which P(x) = 0 is a root of the equation and a zero of the function. So, P(x) = x^2 - x - 35 0 = X^2 - x - 35 or, x^2 - x - 35 = 0 We can factor this equation as (x - r1)(x - r2) = 0. Let's find r1 and r2: x^2 - x - 35 = 0 add 35 to both sides; x^2 - x = 35 ad to both sides 1/4 in order to complete the square; x^2 - x + 1/4 = 35 + 1/4 (x - 1/2)2 = 141/4 x - 1/2 = +,- square root of 141/4 x = 1/2 +,- 1/2(square root of 141) x = (1 + square root of 141)/2 or x = (1 - square root of 141)/2 So the factorization is: [x - (1 + square root of 141)/2 ] [x - (1 - square root of 141)/2 ] Check.
What is the square root of the fifth root of x?
The square root of the fifth root of x is the tenth root of x.
Formula for square root?
Square root of x = x^0.5
What is the square root of a polynomial?
The square root of a polynomial is another polynomial that, when multiplied by itself, yields the original polynomial. Not all polynomials have a square root that is also a polynomial; for example, the polynomial (x^2 + 1) does not have a polynomial square root in the real number system. However, some polynomials, like (x^2 - 4), have polynomial square roots, which in this case would be (x - 2) and (x + 2). Finding the square root of a polynomial can involve techniques such as factoring or using the quadratic formula for quadratic polynomials.
Is x minus the square root of 11 a polynomial?
Yes, it is a linear polynomial.
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 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.
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.
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.
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.
Is it possible to find a polynomial of degree 3 that has -2 as its only real zero?
5
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)
Which mathematical term describes the x-value of a point where the graph of a polynomial crosses the x-axis?
A root or a zero of the polynomial.
If a polynomial is divided by (x - a) and the remainder equals zero then (x - a) is a factor of the polynomial.?
Yes, that's correct. According to the Factor Theorem, if a polynomial ( P(x) ) is divided by ( (x - a) ) and the remainder is zero, then ( (x - a) ) is indeed a factor of the polynomial. This means that ( P(a) = 0 ), indicating that ( a ) is a root of the polynomial. Thus, the polynomial can be expressed as ( P(x) = (x - a)Q(x) ) for some polynomial ( Q(x) ).
How do you factor the expression x squared minus 2?
The polynomial is not factorable with rational numbers. If you want to use irrational numbers it would be x minus the square root of 2 times x plus the square root of 2.
