If synthetic division reveals a zero, why should we try that value again as a possible solution?

2 answers:

6 0

Polynomials can have double roots, in fact they're pretty common. if you get a reasonable zero it costs very little time to try it again for a double root. answer is the second choice

Pachacha [2.7K]3 years ago

3 0

Answer:

The correct option is:

Polynomial functions can have repeated zeros, so the fact that a number is a zero doesn't preclude it being a zero again.

Step-by-step explanation:

As we know that if we get a zero of a polynomial than that particular zero could also be a zero of multiplicity greater than one or in short we can say that it is a repeated zero of the polynomial.

Hence, in order to check that it is a repeated zero we factorize the polynomial and see that it is a zero of the other factor or not if it is a zero of the other factor then we will say that the zero is a repeated zero of the polynomial.

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Given: Quadrilateral DEFG

nadya68 [22]

We know that
The inscribed angle Theorem states that the inscribed angle measures half of the arc it comprises.
so
m∠D=(1/2)*[arc EFG]
and
m∠F=(1/2)*[arc GDE]

arc EFG+arc GDE=360°-------> full circle

applying multiplication property of equality
(1/2)*arc EFG+(1/2)*arc GDE=180°

applying substitution property of equality
m∠D=(1/2)*[arc EFG]
m∠F=(1/2)*[arc GDE]
(1/2)*arc EFG+(1/2)*arc GDE=180°----> m∠D+m∠F=180°

the answer in the attached figure

3 0

3 years ago

Smith:24 Munoz:32 Park:20 Find the ratios and write in simplest form. Smith to Munoz to Park

Rus_ich [418]

The answer is: " 6: 8 : 5 " .
______________________________
Given: "24: 32: 20" ; Divide by "4" :

24: 32: 20
_____________
4

______________________________
to get: " 6: 8 : 5 " .
______________________________

3 0

3 years ago

Solve the inequality 2x-1/x > 1

Grace [21]

Answer:

− 1 /2 < x < 0

or x > 1

Step-by-step explanation:

Solve the inequality by finding the roots and creating test intervals.

Glad I could help!!

8 0

3 years ago

Read 2 more answers

What is the image of (0, 1) after a reflection over the line y = x?

hjlf

Answer:

(1,0) would be the correct answer.

Step-by-step explanation:

any point that is reflected across y=x will change unless it is on the line. if reflected across y=x, the coordinates will become y,x

8 0

3 years ago

Petes boat can travel 48 miles upstream in 4 hours. The return trip takes 3 hours. Find the speed of the boat in still water and

tankabanditka [31]

So... hmm bear in mind, when the boat goes upstream, it goes against the stream, so, if the boat has speed rate of say "b", and the stream has a rate of "r", then the speed going up is b - r, the boat's rate minus the streams, because the stream is subtracting speed as it goes up

going downstream is a bit different, the stream speed is "added" to boat's
so the boat is really going faster, is going b + r

notice, the distance is the same, upstream as well as downstream
thus $\bf \begin{cases}
b=\textit{rate of the boat}\\
r=\textit{rate of the river}
\end{cases}\qquad thus
\\\\\\

\begin{array}{lccclll}
&distance&rate&time(hrs)\\
&----&----&----\\
upstream&48&b-r&4\\
downstream&48&b+4&3
\end{array}
\\\\\\

\begin{cases}
48=(b-r)(4)\to 48=4b-4r\\\\
\frac{48-4b}{-4}=r\\
--------------\\
48=(b+r)(3)\\
-----------------------------\\\\
thus\\\\
48=\left[ b+\left(\boxed{\frac{48-4b}{-4}}\right) \right] (3)
\end{cases}$

solve for "r", to see what the stream's rate is

what about the boat's? well, just plug the value for "r" on either equation and solve for "b"

5 0

3 years ago