What are the factors of X2 15x 54?

Answer 1

Factoring:

ax**2 + bx + c

Step 1: Multiply coefficients of first and third terms

a∗c

1*54

Step 2: Factor product of coefficient of first and third term (a*c), choose 2

factors whose sum is the coefficient of the second term (b)

a∗c=d∗e

d+e=b

54=2*3*3*3

54=2*27

54=6*9

54=18*3

9+6=15

Step 3: Rewrite equation

ax**2 + dx + ex + c

x**2+ 9x+6x+54

Step 4: Factor sets of terms (first and second, third and fourth)

gx(hx + i) + j(hx + i)

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

where: g is the greatest common factor of a and d

where: j is the greatest common factor of e and c

where: h = a ÷ g, e ÷ j

where: i = d ÷ g, c ÷ j

Step 5: Combine Like terms:

(gx + j)(hx + 1)

(x+6)(x+9)

Answer 2

(x-3)(x+18)