Question

a^4+5a^3+6a^2=________________​

Answer 1

Answer:

4 -5a 3 +6a 2

Final result :

a 2 • (a - 2) • (a - 3)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "a2" was replaced by "a^2". 2 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((a 4 ) - (5 • (a 3 ))) + (2•3a 2 )

Step 2 :

Equation at the end of step 2 :

((a 4 ) - 5a 3 ) + (2•3a 2 )

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

a 4 - 5a 3 + 6a 2 = a 2 • (a 2 - 5a + 6)

Trying to factor by splitting the middle term

4.2 Factoring a 2 - 5a + 6

The first term is, a 2 its coefficient is 1 .

The middle term is, -5a its coefficient is -5 .

The last term, "the constant", is +6

Step-1 : Multiply the coefficient of the first term by the constant 1 • 6 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + -1 = -7

-3 + -2 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -2

a 2 - 3a - 2a - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

a • (a-3)

Add up the last 2 terms, pulling out common factors :

2 • (a-3)

Step-5 : Add up the four terms of step 4 :

(a-2) • (a-3)

Which is the desired factorization

Final result :

a 2 • (a - 2) • (a - 3)

Step-by-step explanation:

plz markbrainlist