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expeople1 [14]
1 year ago
9

How can you quickly determine the number of roots a polynomial will have by looking at the equation?

Mathematics
1 answer:
Shtirlitz [24]1 year ago
3 0

One can determine the number of roots by seeing the degree of the given polynomial.

The number of roots can be determined by just seeing the highest power of the given equation.

1) for the equation  x-4=0

here, the highest power of the equation is one. So, it will have one root.

<h3>What is the polynomial?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtract multiplication, on,  and non-negative integer exponentiation of variables.

Let's check it by simplifying x-4=0  which implies x=4

Hence, the equation has only one root namely x = 4.

2) Consider a quadratic equation,

10t^2-t-3=0

here, the highest power of the equation is two. So, it will have two roots.

Let's check it by simplifying using the middle term splitting method,

10t^2+5t-6t-3=0

5t(2t+1)-3(2t+1)=0

(5t-3)(2t+1)=0

t=-3/5 or t=-1/2

Thus, the equation has two roots.

Hence, one can determine the number of roots by seeing the degree of the given polynomial.

To learn more about the polynomial visit:

brainly.com/question/2833285

#SPJ1

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2 years ago
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Shaan walks 2.5 meters per second. His brother Dhvan walks 1 meter
MissTica

Answer:

The race must be up to 29 meters for Dhvan to win.

Step-by-step explanation:

Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:

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6 0
2 years ago
The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.
Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: A=\pi r^2 where r is the radius

Plug in the area 43.25 cm²

43.25=\pi r^2

Divide both sides by π to isolate r²

\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2

Take the square root of both sides to isolate r

\sqrt{\frac{43.25}{\pi}} =r\\3.71=r

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

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Step-by-step explanation:

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