answersLogoWhite

0

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)

User Avatar

Wiki User

12y ago

What else can I help you with?

Related Questions

What is the answer to x2 15x 54?

This question does not make sense. If it should be X2 x 15X -54, the answer is: X2 -15X + 54 = (X - 6)(X -9)


How do you factor x squared plus 15X plus 54?

x2 + 15x + 54 = (x + 6)(x + 9) or (x + 9)(x + 6) since 6*9 = 54 and 6 + 9 = 15However, commutativity is implicit in deriving this factorisation so that the two factorisations are the same.or factor by groupingx2 + 15x + 54= x2 + 6x + 9x + 54= (x2 + 6x) + (9x + 54)= x(x + 6) + 9(x + 6)= (x + 6)(x + 9)


What is the correct classification of x2 15x?

The correct classification of x2 15x is a monomial.


How do you factor x squared-15X plus 54?

x2-15x+54 factor pairs of 54: 1,54 2,27 3,18 6,9 -1,-54 -2,-27 -3,-18 -6,-9 <-6 and -9 sum to -15 x2-6x - 9x+54 x(x-6) - 9(x-6) (x-6)(x-9)


What is the factor of 3x squared plus 15x plus 6?

3x2 + 15x + 6 = 3*(x2 + 5x + 2). There are no further rational factors.


How do you factor the trinomial x2 - 15x plus 54?

(x-6)(x-9) I did that by factoring 54 until I found two numbers that added up to 15.


What is the trinomial for x2 plus 15x plus 14?

x2+15x+14 = (x+1)(x+14)


Factor the trinomial below Enter each factor as a polynomial in descending order x2 - 15x plus 54?

(x - 6)(x - 9)


How do you factor x2 - 15x -100?

You're looking for factors of 100 that differ by 20. (x + 5)(x - 20)


How do you factor x2 plus 15x-1?

You can't factor it


What is x2 plus 15x equals 30?

It's an equation. If you want to solve it for x, you can do so as follows: x2 + 15x = 30 x2 + 15x + (15/2)2 = 30 + (15/2)2 (x + 15/2)2 = 30 + 225/2 x + 15/2 = ± √(285/2) x = (-15 ± √570) / 2


What is factor of x2 plus 15x 56?

(x + 7)(x + 8)