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What is the Best Describes The Relationship Between (x - 2) And The Polynomial 2x3 plus X2 - 3?
To determine the relationship between ( (x - 2) ) and the polynomial ( 2x^3 + x^2 - 3 ), we can perform polynomial division. If ( (x - 2) ) divides the polynomial evenly, then ( (x - 2) ) is a factor of the polynomial. Alternatively, we can evaluate the polynomial at ( x = 2 ); if the result is zero, it confirms that ( (x - 2) ) is a factor. In this case, substituting ( x = 2 ) gives ( 2(2)^3 + (2)^2 - 3 = 16 + 4 - 3 = 17 ), indicating that ( (x - 2) ) is not a factor of the polynomial.
What is the remainder when 2 is synthetically divided into the polynomial?
To find the remainder when a polynomial is divided by (x - 2) using synthetic division, we substitute (2) into the polynomial. The remainder is the value of the polynomial evaluated at (x = 2). If you provide the specific polynomial, I can calculate the remainder for you.
If the factors of a polynomial are x plus 2 and x plus 6 what values of x make that polynomial 0?
-2 and -6
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.
When this polynomial is simplified what is the coefficient of x2?
To determine the coefficient of ( x^2 ) in a polynomial, you need to simplify the polynomial by combining like terms. Look for all terms that contain ( x^2 ) and sum their coefficients. If you provide the specific polynomial, I can help you find the coefficient of ( x^2 ).
If the factors of a polynomial are x - 2 and x - 5 what values of x make that polynomial 0?
2 or 5
Is 2 a polynomial?
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
If the factors of a polynomial are x plus 2 and x plus 6 what values of x make that polynomial 0?
-2 and -6
Is it possible to find a polynomial of degree 3 that has -2 as its only real zero?
5
X plus 5 x plus 2 as a polynomial in standard form?
As a polynomial in standard form, x plus 5x plus 2 is 6x + 2.
What best describes the relationship between x plus 1 and the polynomial x2 minus x minus 2?
X2 - X - 2(X + 1)(X - 2)===============(X + 1) is a factor of the above polynomial.
Which expression are not polynomial?
X^2-x-12------------X+3
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.
Factor the following polynomial. x2 - 4?
(x-2)(x+2)
Is x plus 2 a polynomial?
yes
Is x2 x 2 a polynomial?
Yes.
2 x - 1 2 square?
To square an expression, multiply it by itself. And to multiply a polynomial by a polynomial, multiply each part of one polynomial by each part of the other polynomial.
