Respuesta :
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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