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.

3 0

3 years ago

Solve for x -x=-5<br> How do you solve for x?<br> can it remain negative ?

Svet_ta [14]

<span>Solve for x
-x=-5

multiply both sides by (-1)
</span>-x (-1) =-5 (-1)
simplify
x = 5

answer is 5 (positive 5)

4 0

3 years ago

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