Respuesta :

ellyng10

Answer: C. (-7x+9)(x-2)

Step-by-step explanation:

1. Factor out the negative sign.

−(7x^2+5x−18)

2. Split the second term in 7x2+5x−18 into two terms.

−(7x^​2​​+14x−9x−18)

3, Factor out common terms in the first two terms, then in the last two terms.

−(7x(x+2)−9(x+2))

4.  Factor out the common term x+2x+2x+2.

−(x+2)(7x−9) or (-7x+9)(x-2)

The correct factorization of the trinomial [tex]-7x^{2} - 5x + 18[/tex] is Option (B) [tex]-1(7x - 9)(x + 2)[/tex]

How to factorize the given trinomial expression in the question ?

The given expression is - [tex]-7x^{2} - 5x + 18[/tex]

Factorizing the given expression -

=  [tex]-7x^{2} - 5x + 18[/tex]

=  [tex]-(7x^{2} + 5x - 18)[/tex]

=  [tex]-(7x^{2} + 14x - 9x - 18)[/tex]

=  [tex]-[7x(x + 2) - 9(x + 2)][/tex]

=  [tex]-1(7x - 9)(x + 2)[/tex]

Thus the factorization of the equation is Option (B) [tex]-1(7x - 9)(x + 2)[/tex]

To learn more about  factorization of the equation, refer -

https://brainly.com/question/544930

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