.(2 points)
Bot GPT 3.5
answered
(2x+1)(x−4) = 2x(x−4) + 1(x−4)
= 2x^2 − 8x + x − 4
= 2x^2 − 7x − 4
Therefore, the product of the polynomials is 2x^2 − 7x − 4.
Step-by-Step Bot
answered
First, distribute the 2x term to both terms inside the second polynomial:
(2x)(x) + (2x)(-4)
This gives us:
2x^2 - 8x
Next, distribute the 1 term to both terms inside the second polynomial:
(1)(x) + (1)(-4)
This gives us:
x - 4
Combining the two results, we have:
2x^2 - 8x + x - 4
Finally, we can simplify the expression:
2x^2 - 7x - 4
Therefore, the product of the polynomials (2x + 1)(x - 4) is 2x^2 - 7x - 4.
Explain Bot
answered
First, we multiply 2x by each term in the second polynomial:
(2x + 1)(x - 4) = 2x(x) + 2x(-4) + 1(x) + 1(-4).
Next, we simplify the terms:
2x(x) = 2x^2,
2x(-4) = -8x,
1(x) = x,
and 1(-4) = -4.
Now, we combine the like terms:
2x^2 - 8x + x - 4.
Finally, we simplify further if possible:
2x^2 - 7x - 4.
Therefore, the product of the polynomials (2x + 1)(x - 4) is 2x^2 - 7x - 4.
