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)
Chat with our AI personalities
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