0
What else can I help you with?
When dividing the polynomial x3 4x2 5x 2 by x 2 the remainder is 0 making x 2 a factor?
Yes, if there is no remainder after division, the divisor is a factor.
How do you factor the cubic polynomial 4x3 plus 20x2 plus 2x-3?
This polynomial doesn't factor. The only thing you can do is take out parts of some terms, e.g. 2(2x3 + 10x2 + x) - 3.
Can you Factor the polynomial x2-xy-132y2?
(x + 11y)(x - 12y)
Is 2 a polynomial?
Yes, f(x) = 2 is a polynomial of degree 0 (because there are no x terms).
2x3 plus 4x2 plus 8x factor the polynomial?
Take out the common factor, 3: 3x + 6 = 3(x + 2).
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.
Factor the polynomial x2 - 5x plus 6 Write each factor as a polynomial in descending order?
(x-2)(x-3)
Factor the following polynomial. x2 - 4?
(x-2)(x+2)
What is the Factor the polynomial expression. Write each factor as a polynomial in descending order.?
To factor a polynomial expression, you identify common factors among the terms and express the polynomial as a product of simpler polynomials. For example, consider the polynomial ( x^2 - 5x + 6 ); it factors into ( (x - 2)(x - 3) ). Each factor is written in descending order, starting with the highest degree term. The specific steps to factor will depend on the polynomial you are working with.
Factor the polynomial x2 5x - 24 Enter each factor as a polynomial in descending order?
x^2 + 5x - 24 = (x - 3)(x + 8)
What is the factorization of the polynomial below 2x2 plus 20x plus 50?
To factor the polynomial (2x^2 + 20x + 50), first, we can factor out the greatest common factor, which is 2. This gives us (2(x^2 + 10x + 25)). The quadratic (x^2 + 10x + 25) can be factored further as ((x + 5)^2). Thus, the complete factorization of the polynomial is (2(x + 5)^2).
What best describes the relationship between (x-5) and the polynomial 2x2-7x-15?
The expression (x - 5) is a factor of the polynomial (2x^2 - 7x - 15) if substituting (x = 5) yields a result of zero for the polynomial. To determine this, we can use polynomial long division or synthetic division. If (2x^2 - 7x - 15) can be divided by (x - 5) without a remainder, then (x - 5) is indeed a factor of the polynomial. Otherwise, it is not a factor.
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) ).
What is coefficient of factor?
The coefficient of a factor in a polynomial is a numerical value that multiplies that factor within the expression. For example, in the polynomial (3x^2 + 5x + 2), the coefficient of the factor (x^2) is 3, while the coefficient of (x) is 5. Coefficients can represent various quantities, such as weights or scaling factors, depending on the context in which the polynomial is used.
What is the polynomial factor theorem?
Suppose p(x) is a polynomial in x. Then p(a) = 0 if and only if (x-a) is a factor of p(x).
Factor polynomial x2 plus 2x-8?
(x+4)(x-2)
what is the factor the polynomial 2x2-12x-80?
2(x + 4)(x - 10)
