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3 votes
Factor the polynomial.

X2+3x-54

User Schien
by
7.5k points

2 Answers

5 votes

Answer:


\mathrm{(x + 9)(x - 6)}

Explanation:


{x}^(2) + 3x - 54

Write 3x as a difference


{x}^(2) + 9x - 6x - 54

Factor out x from the expression


x(x + 9) - 6x - 54

Factor out -6 from the expression


x(x + 9) - 6(x + 9)

Factor out x+9 from the expression


(x + 9)(x - 6)

Hope I helped!

Best regards!

User Amila Isura
by
8.4k points
5 votes

Answer: (x + 9)(x - 6)

Explanation:

x² + 3x - 54 Find 2 numbers whose product is -54 and sum is +3

-1 + 54

-2 + 27

-3 + 18

-6 + 9 = +3 This works!

Place those digits in the parentheses and it is now factored.

(x - 6)(x + 9)

User Fujiao Liu
by
8.2k points

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