Question

Factor the polynomial. X2+3x-54

Answer 1

Answer:  (x + 9)(x - 6)

Step-by-step 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)

Answer 2

Answer:

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

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!