What are the factors of the expression
[tex]x {}^{2} + 6x - 16 [/tex]
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What are the factors of the expression
[tex]x {}^{2} + 6x - 16 [/tex]
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Answer:
(x + 8)(x - 2)
Explanation:
Trinomials in the form x² + bx + c can often be factored as the product of two binomials. Remember that a binomial is simply a two-term polynomial. Let’s start by reviewing what happens when two binomials, such as (x + 2) and (x + 5), are multiplied. Factoring is the reverse of multiplying. So let’s go in reverse and factor the trinomial x² + 7x + 10. The individual terms x2, 7x, and 10 share no common factors. So look at rewriting x² + 7x + 10 as x² + 5x + 2x + 10.
And, you can group pairs of factors: (x² + 5x) + (2x + 10)
Factor each pair: x(x + 5) + 2(x + 5)
Then factor out the common factor x + 5: (x + 5)(x + 2)
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