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Mashutka [201]
2 years ago
6

Is x + 1 a factor of

title="x^{4} +2x^{3} +2x^{2} -2x-3" alt="x^{4} +2x^{3} +2x^{2} -2x-3" align="absmiddle" class="latex-formula">?
Mathematics
2 answers:
JulsSmile [24]2 years ago
4 0
Yes x+1 is a factor of that
Svetllana [295]2 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

We want to determine if (<em>x</em> + 1) is a factor of the polynomial:

x^4 + 2x^3 + 2x^2 - 2x -3

According to the Factor Theorem, if a binomial in the form (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x), then P(a) must equal zero.

Our binomial factor is (<em>x</em> + 1) or (<em>x</em> - (-1)). Hence, <em>a</em> = -1.

Let our polynomial be P(x). Find P(-1):

\displaystyle\begin{aligned}  P(-1) &= (-1)^4 + 2(-1)^3 +2(-1)^2 -2(-1) -3 \\&=0\end{aligned}

Therefore, since the resulting value is indeed zero, (<em>x</em> + 1) is indeed a factor of the given polynomial.

In conclusion: yes.

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3 years ago
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ANSWER THREE THROUGH FIVE , ILL GIVE YOU BRAINLIST!!!
Ray Of Light [21]

Answer:

Step-by-step explanation:

3) diameter of penny = 19 mm

                          r = 19/2 = 9.5 mm

Area of penny = πr²

                        = 3.14 * 9.5 * 9.5

                         = 283.385

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Diameter of nickel = 21 mm

                          r = 21/2 = 10.5 mm

Area of nickel  = πr²

                         = 3.14 * 10.5 *10.5

                        = 346.185

                        = 346.19 mm²

346.19 - 283.39 = 62.8 mm²

Area of Canadian nickel is greater than Canadian penny by 32.6 mm²

4)  r = 12 mm

Area of circle = πr²

                      = 3.14 * 12 * 12

                       =  452.16 mm²

5) r  = 20 cm

Area of circle =  πr²

                      = 3.14 * 20 * 20

                      = 1256 cm²

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ehidna [41]
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3 0
3 years ago
14+-6 what is the answer answer
Irina-Kira [14]

Answer:

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3 years ago
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