How do you solve 5x^4-12x^3 by factoring? I tried to pull out an x^3, but x^3(5x-12) is hard to break down further into two groups. There's no factors of 5x really other than 5 and 1, and that won't work. Could you demonstrate?
the answer is x^3*(5x-12) . Have you no faith?
c=p+1500
To factor the expression 5x^4 - 12x^3, let's take a closer look at each term.
We have two terms, 5x^4 and -12x^3.
Starting with the first term, 5x^4, we can try factoring out the greatest common factor (GCF). The GCF of 5x^4 and -12x^3 is x^3 (since it is the largest power of x that divides both terms).
Factoring out x^3 gives us x^3(5x - 12).
At this point, it seems as though we cannot break down x^3(5x - 12) further by grouping. However, let's analyze the second part, (5x - 12), a little more.
When we look at the expression 5x - 12, we can try to factor it further by grouping. We want to find two numbers that multiply to give -12 and add up to 5.
In this case, there are no two integers that satisfy these conditions. Therefore, we cannot factor the expression x^3(5x - 12) any further using the factoring method.
Hence, the factored form of 5x^4 - 12x^3 is x^3(5x - 12).