Find the product of the polynomials (2x+1)(x−4).

3 answers

To find the product of the polynomials (2x+1)(x-4), we can use the distributive property.

First, we multiply the first term of the first polynomial (2x) by both terms of the second polynomial (x and -4):
(2x)(x) = 2x^2
(2x)(-4) = -8x

Next, we multiply the second term of the first polynomial (1) by both terms of the second polynomial (x and -4):
(1)(x) = x
(1)(-4) = -4

Finally, we add up all the intermediate products to get the final product of the polynomials:
2x^2 + (-8x) + x + (-4)

Simplifying this expression, we combine like terms:
2x^2 - 7x - 4

So the product of the polynomials (2x+1)(x-4) is 2x^2 - 7x - 4.
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Find the product of the polynomials (2x+1)(x−4)
.(2 points)
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