Ask Question
1 February, 09:52

Factor completely: 5x3 + 15x2 + 10x

+4
Answers (1)
  1. 1 February, 11:34
    0
    -5x • (x + 2) • (x + 1)

    Step-by-step explanation:

    Reformatting the input:

    Changes made to your input should not affect the solution:

    (1) : "x2" was replaced by "x^2". 1 more similar replacement (s).

    Step by step solution:

    Step 1:

    Equation at the end of step 1:

    ((0 - (5 • (x3))) - (3•5x2)) - 10x

    Step 2:

    Equation at the end of step 2:

    ((0 - 5x3) - (3•5x2)) - 10x

    Step 3:

    Step 4:

    Pulling out like terms:

    4.1 Pull out like factors:

    -5x3 - 15x2 - 10x = - 5x • (x2 + 3x + 2)

    Trying to factor by splitting the middle term

    4.2 Factoring x2 + 3x + 2

    The first term is, x2 its coefficient is 1.

    The middle term is, + 3x its coefficient is 3.

    The last term, "the constant", is + 2

    Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2

    Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 3.

    -2 + - 1 = - 3

    -1 + - 2 = - 3

    1 + 2 = 3 That's it

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 2

    x2 + 1x + 2x + 2

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

    x • (x+1)

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

    2 • (x+1)

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

    (x+2) • (x+1)

    Which is the desired factorization

    Final result:

    -5x • (x + 2) • (x + 1)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Factor completely: 5x3 + 15x2 + 10x ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers