College Algebra CLEP Prep Practice Exam

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Find the product of the polynomials (7x + 2)(3x - 4).

  1. -21x2 - 28x + 8

  2. 21x2 + 28x - 8

  3. 21x2 + 28x + 8

  4. -21x2 + 28x + 8

The correct answer is: -21x2 - 28x + 8

When multiplying polynomials, it is important to remember the FOIL method, which stands for First, Outer, Inner, Last. This means we multiply the first term of each polynomial, then the outer terms, followed by the inner terms, and finally the last terms. In this case, using the FOIL method, we get (7x)(3x) + (7x)(-4) + (2)(3x) + (2)(-4). Simplifying this expression, we get 21x^2 - 28x - 12x - 8, which simplifies to 21x^2 - 40x - 8. Option B is incorrect because the negative sign is in the wrong place. Option C is incorrect because the constant term (-8) is missing. Option D is incorrect because the signs are incorrect. Therefore, the correct product

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