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arsen [322]
2 years ago
9

Use synthetic division to determine the remainder when 3x 3 − 2x 2 + x − 1 is divided by x − 1.

Mathematics
1 answer:
dolphi86 [110]2 years ago
3 0

Answer:

  1

Step-by-step explanation:

The synthetic division tableau and instructions for its use are shown in the attachment. The number at top left (1) is the zero of the divisor, the opposite of the constant -1.

__

<em>Additional comment</em>

Essentially, you're evaluating the function for x=1. The synthetic division is a long way to get the sum of coefficients, which is what the function value is when x=1.

  3 -2 +1 -1 = 1

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Find the volume in cubic millimeters.
forsale [732]

Answer:

Option B is correct.

volume in cubic millimeters is, 8000 cubic mm

Step-by-step explanation:

Volume of a cube is found by multiplying the length of any edge by itself twice.

It is given by:

V = a^3 cubic units,......[1] where V represents the volume of a cube and a represents the side of a length.

From the given figure;

Length of a side(a) = 2 cm

Use conversion, to convert cm into mm;

1 cm = 10 mm

then;

2cm  =20 mm

⇒length of a side(a) = 20 mm

Substitute the value of a = 20 mm in [1];

V = (20)^3 cubic mm

Simplify:

V = 8000 mm^3

Therefore, the volume in cubic millimeters is, 8000 cubic mm


8 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Which answer best describes the complex zeros of the polynomial function?
marysya [2.9K]

<u>Answer-</u>

<em>D. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.</em>

<u>Solution-</u>

The given polynomial is,

f(x)=x^3-x^2+6x-6

The zeros of the polynomials are,

\Rightarrow f(x)=0

\Rightarrow x^3-x^2+6x-6=0

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\Rightarrow (x^2+6)(x-1)=0

\Rightarrow (x^2+6)=0,(x-1)=0

\Rightarrow x=\sqrt{-6},\ x=1

\Rightarrow x=1,\ \pm \sqrt6i

Therefore, this function has only one real zero i.e 1 and two nonreal zeros i.e ±√6i . The graph of the function intersects the x-axis at exactly one location i.e at x = 1

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3 years ago
( 4.2 + 3 ) + (5.7 x - 2 ) + ( 5 — 2.6 x)
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