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adelina 88 [10]
4 years ago
8

Factor the polynomial. X2+3x-54

Mathematics
2 answers:
Llana [10]4 years ago
7 0

Answer:  (x + 9)(x - 6)

<u>Step-by-step explanation:</u>

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)

Harrizon [31]4 years ago
3 0

Answer:

<h2>\mathrm{(x + 9)(x - 6)}</h2>

Step-by-step 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!

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The solution diagram is attached below :

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