# Factoring

Factor Completely:

3t^3 + 5t^2 - 12t

first take out the t

so you have:
t(3t^2 + 5t - 12)
you should be able to factor it easily from there-- what numbers multiply to get (12 x 3) 36 and add to get 5?
4 and 9.
so, you will take 9 and 4 and replace it with the 5, for -9t + 4t = =5t.
so, you have:

t(3t^2 + 5t - 12)
t(3t^2 - 9t + 4t - 12)
t(3t(t - 3) 4(t - 3)) =
t(3t + 4)(t - 3)

1. 👍
2. 👎
3. 👁

## Similar Questions

Use synthetic division and the given factor to completely factor the polynomial. x^3-x^2-24x-36; (x-6) How do I do this?

2. ### math

3. Reduce the fraction −20t 5u 2v 3 48t 7u 4v . A. −5t 2v 2 12u 2 C. −5v 2 12t 2u 2 B. 5t 2v 2 12u 2 D. 5v 2 12t 2u 2 4. Reduce the fraction w 2 + 5w + 6 w 2 − w − 12 . A. w − 2 w − 4 C. w + 2 w + 4 B. w + 2 w − 4

3. ### Algebra II

Given polynomial f(X) and a factor of f(x), factor f(x) completely. F(x)= x^3-9x^2+8x+60; x+2

4. ### Algebra

Rewrite the middle term as the sum of two terms and then factor by grouping. x2 – 2x – 63 Factor. 9x(x – 7y) – 6(x – 7y) Factor completely. x^2+8x+15 Rewrite the middle term as the sum of two terms and then factor

1. ### math

divide. (12t^6 - 8t^8) ÷ (2t^3) a. 6t^3 - 8t^8 b. 12t^6 - 4t^5 c. 6t^2 - 8t^4 d. 6t^3 - 4t^5

2. ### College Algebra 1

Factor completely. Remember to look first for a common factor and check by multiplying. if polynomial is prime, state this. -36a^2-96ab-54b^2 I couldn't find the right answer.

3. ### math

Completely factor the expression 2a3 − 128. A. 2(a − 4)3 B. 2(a − 4)(a2 + 4a + 16) C. 2(a3 − 64) D. Prime Completely factor the expression 7(x − y) − z(x − y). A. Prime B. (x − y)(7 − z) C. (x − y)(7 + z) D. (x

4. ### algebra 1

Factor completely 36x2 + 60x + 25 Factor completely 4n2 + 28n + 49

1. ### Algebra

Factor completely. Remember to look first for a common factor. Check by multiplying. If a polynomial is prime state this. a^2-2ab-3b^2

2. ### Algebra ll

Consider the function f(x) = x4 – 3x3 – 7x2 + 15x + 18. Use synthetic division to divide f(x) by x – 3. Use the answer to explain whether or not x – 3 is a factor of f(x).Factor f(x) completely.

3. ### math/trig

What graph is traced by the equation (x, y) = (5sin 12t , 6−5 cos 12t)?Think of another equation that will produce the same graph. Use your calculator to check.

4. ### Algebra

Ok I got two I need help with : 1. Factor Completely 7x^2 + 49x + 42 I get 7x^2 + 7x + 42x + 42 then 7x(x+1) but the right side is confusing me. I know it should be (x+6). So the answer is 7x(x+1)(x+6) But I get 7x(x+1) 7(6x+6).