It is x^2 -4 = (x-2)(x+2) when factored and it is the difference of two squares
(x+8)(x-5)
An expression that completely divides a given polynomial without leaving a remainder is called a factor of the polynomial. This means that when the polynomial is divided by the factor, the result is another polynomial with no remainder. Factors of a polynomial can be found by using methods such as long division, synthetic division, or factoring techniques like grouping, GCF (greatest common factor), or special patterns.
(x + 8)(x - 5)
(5x - 1)(x + 6)
Start by looking for a common factor. Separate this factor, then factor the remaining polynomial.
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 - 10x + 25. Enter each factor as a polynomial in descending order.
-79
15x^2+3x-12 3(5x^2+x-4)=Answer
To determine which linear expression is a factor of a given polynomial function, you typically need to perform polynomial division or use the Factor Theorem. If you can substitute a root of the polynomial into the linear expression and obtain a value of zero, then that linear expression is indeed a factor. Alternatively, if you have the polynomial's roots, any linear expression of the form ( (x - r) ), where ( r ) is a root, will be a factor. Please provide the specific polynomial function for a more accurate response.
(x-3)(x+8)
(3x + 4)(3x + 4)
(x-2)(x-3)
(x + 8)(x + 1)
(x - 3)(x - 3)
2x+5x-24 7x2-24
(x-4) (x+7)