Factor the polynomial. X2+3x-54

Question

asked Oct 15, 2021 221k views

2 Answers

Amila Isura · Answer 1 · 2021-10-17T20:03:18+0000

Answer:

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!

Fujiao Liu · Answer 2 · 2021-10-18T22:56:34+0000

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)