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mixer [17]
3 years ago
15

If I multiplied these binomials (x - 3) + (4x + 2) what would be the final product?

Mathematics
2 answers:
zlopas [31]3 years ago
8 0

Answer: 4x^2 - 10x - 6

Step-by-step explanation:

You can use FOIL to do this. First terms, Outer terms, Inner terms, Last terms.

(x - 3)(4x + 2)

First terms: x * 4x = 4x^2

Outer terms: x * 2 = 2x

Inner terms: -3 * 4x = -12x

Last terms: -3 * 2 = -6

Now add these together:

4x^2 + 2x - 12x - 6 = 4x^2 - 10x - 6

Lelechka [254]3 years ago
5 0

Answer:

4x^2 - 10x - 6

Step-by-step explanation:

If you truly want to multiply these binomials, remove the " + " sign and replace it with " * " for multiplication:

(x - 3) (4x + 2)  =  4x^2 + 2x - 6 - 12x

Combining like terms, we get 4x^2 - 10x - 6

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Sindrei [870]

Answer:

1) D. y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10

2) E. The coefficient of x is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}, where n is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10

Correct answer: D

2) Let p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4), we proceed to expand the expression by algebraic means:

p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)

p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4

We see that coefficients for x^{2} and x are -16 and 0, respectively. Hence, the incorrect answer is E.

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