To factor the expression (3x^2 - 17x - 28), we look for two numbers that multiply to (3 \times -28 = -84) and add to (-17). The numbers (-21) and (4) fit this criteria. We can then rewrite the middle term and factor by grouping:
[3x^2 - 21x + 4x - 28 = 3x(x - 7) + 4(x - 7) = (3x + 4)(x - 7).]
Thus, the completely factored form is ((3x + 4)(x - 7)).
When the expression is broken down into its prime factors it is factored completely.
If you mean: y2+5y+6 then it is (y+2)(y+3) when factored completely
-5
urr momm
98
27-y3 factored completely = 24
When the expression is broken down into its prime factors it is factored completely.
a3-4a = a(a2-4) when factored
If you mean: y2+5y+6 then it is (y+2)(y+3) when factored completely
A completely factored form is one which is composed of product of factors and can't be factorized further. Let us consider two examples: x2 - 4x + 4 is not a factored form because it can be factored as (x - 2)(x - 2). (x +1)(x2 - 4x + 4) is also not a factored form because x2 - 4x + 4 can be factored further as (x - 2)(x - 2). So, the completely factored form is (x + 1)(x - 2)(x - 2).
Completely Factored
-5
77r + 74r - 16 = 151r - 16 and that cannot be factored further.
urr momm
(-t+7)(-7t-2)
12x4 - 42x6 = 6x4 (2 - 7x2)
98