what is the factor form of this polynomial 3X^3 - 3x^2 - 36x?
3x^3 - 3x^2 - 36x , first I see a common factor of 3x
= 3x(x^2 - x - 12) , now a nice quadratic which you can factor in your head
=3x(x - 4)(x + 3)
sry if its wrong mate
just do it
Thanks mathhelper that is so right :)
To find the factor form of a polynomial, we need to factor out the common factors from each term.
In this case, we can factor out an "3x" from each term:
3x(x^2 - x - 12)
Now, we need to factor the quadratic polynomial inside the parentheses: x^2 - x - 12.
To factor this quadratic polynomial, we need to find two numbers whose product is -12 and whose sum is -1 (since the coefficient of the middle term is -1).
The numbers that satisfy these conditions are -4 and 3.
Therefore, we can rewrite the quadratic polynomial as:
x^2 - x - 12 = (x - 4)(x + 3)
Putting it all together, the factor form of the polynomial 3x^3 - 3x^2 - 36x is:
3x(x - 4)(x + 3)