Which expression is the expanded form of p(x)=4(x−7)(2x2+3)?
8x3−56x2+12x−84
8x3+56x2−12x−84
32x3−224x2+48x−336
−48x2+12x−84
I believe it is 8x3−56x2+12x−84 if I am wrong can you explain
you are correct
To find the expanded form of the expression p(x) = 4(x−7)(2x^2+3), you need to apply the distributive property and simplify accordingly.
First, multiply 4 with each term inside the first parenthesis:
4(x−7) = 4x - 28
Next, distribute 4(x - 7) across the second parenthesis:
4(x−7)(2x^2+3) = (4x - 28)(2x^2 + 3)
Using the distributive property, multiply each term in the first parenthesis by each term in the second parenthesis:
(4x) * (2x^2) + (4x) * (3) - (28) * (2x^2) - (28) * (3)
Now, simplify each term:
8x^3 + 12x - 56x^2 - 84
Hence, the correct expanded form of p(x) is 8x3−56x2+12x−84.
Therefore, your initial assumption is correct.