answersLogoWhite

0

Assuming x**2+2x-24:

Factoring:

ax**2 + bx + c

Step 1: Multiply coefficients of first and third terms

a∗c

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

Step 3: Rewrite equation

ax2 + dx + ex + c

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

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

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)

Example:

Step 1: Multiply coefficients of first and third terms

1*-24 = -24

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)

-24=2*2*2*3*-1

-24=

-2*12, 2*-12

-4*6, 4*-6

-3*8, 3*-8

-4+6=2

Step 3: Rewrite equation

x**2-4x+6x-24

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

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

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

x(x-4)+6(x-4)

Step 5: Combine Like terms:

(x+6)(x-4)

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
BeauBeau
You're doing better than you think!
Chat with Beau
More answers

(x + 6)(x - 4)

User Avatar

Wiki User

12y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What are the factors for the trinomial x2 plus 2x-24?
Write your answer...
Submit
Still have questions?
magnify glass
imp