x2-5x-50 = (x+5)(x-10) when factored
To reduce binomials into simplest form, first look for common factors in both terms of the binomial. Factor out any greatest common factors (GCF), if applicable. Additionally, if the binomial can be factored into a product of two binomials or simplified using algebraic identities, do so. Finally, ensure there are no further common factors or reducible expressions remaining.
It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)
That factors to (x - 14)(x - 2)
You didn't bother to list the binomials to choose from, but the two binomial factors of x2 + 6x - 40 are (x + 10) and (x - 4)
(x + 4)(x - 3)(x - 2)
It factors to: (x-4)(x+1)
Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)
The factors of the expression, x2 + 3x - 4 are (x + 4) and (x - 1). As no binomials have been shown then the answer can be checked against the missing expressions to see if there is a match.
To factor the trinomial (x^2 + 3x - 4), we look for two binomials that multiply to give this expression. The factors of (-4) that add up to (3) are (4) and (-1). Therefore, the binomials are ((x + 4)) and ((x - 1)), making ((x - 1)) a factor of the trinomial.
does the FOIL system work for any binomials
The factors of that trinomial are (x - 13) and (x + 3) . Neither of them appears below.