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3 years ago

How to classify 8x4 + 7x3 + 5x2 + 8 by number of terms.

Mathematics

2 answers:

Gnesinka [82]3 years ago

7 0

we are given

$8x^4+7x^3+5x^2+8$

we know that this is polynomial

When number of terms >3 ....then we call that as "polynomial"

We can see that

number of terms =4

so, this is "polynomial of 4 terms"........Answer

Arisa [49]3 years ago

4 0

Answer:

This is a polynomial.

Step-by-step explanation:

A monomial is a constant, a variable or the product of constants and variables.

A binomial is the sum or difference of two monomials.

A trinomial is the sum or difference of three monomials.

Anything more than three terms makes it a polynomial.

This has 4 terms; thus it is a polynomial.

You might be interested in

The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle

ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use w to represent the width, the length will be 6 more than 2 times w.

Hence, the length is $2w+6$ .

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

$A=w(2w+6)$

We can also substitute 40 in for A as it's given in the question.

$40 = w(2w+6)$

Distributing w by multiplying it by both terms in the parentheses, we get

$40 = 2w^2+6w$

We can make the equation simpler by dividing both sides by 2.

$20 = w^2+3w$

Subtracting both sides by 20 will make the left-hand side 0.

$0=w^2+3w-20$

Now that we have put this quadratic equation into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

$w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}$

$w= \frac{-3\pm\sqrt{9+80}}{2}$

$w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}$

Since the second solution results in a negative number, it cannot be the length of w.

$w=\frac{-3+\sqrt{89}}{2}\approx3.217$

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

$l=2(3.217)+6$

$l=12.434$

The length of this rectangle is 12.434 cm.

6 0

1 year ago

Aight man can someone help me lol

uranmaximum [27]

Answer: 11/24

Step-by-step explanation:

whenever u see this — (

it means the opposite of. so the opposite of -5/8 is +5/8.

-1/6 + 5/8 = 11/24

4 0

2 years ago

PLEASE ANSWER 14 points!!!!

katen-ka-za [31]

Answer:

Step-by-step explanation:

sqrt[(-8+3)² + (-6+6)²] = 5

4 0

2 years ago

-k+0.03+1.01k=-2.45-1.81k?

Mrrafil [7]

Answer:

-1.362637

or if you round your answer -1.36

Step-by-step explanation:

solve for k by simplifying both sides of the equation and isolating the variable.

4 0

3 years ago

Solve the equation, -3|6n-2|+5=8

Marianna [84]

Hey..... Nice to see you :)
Let me help you out.

-3|6n -2| + 5 = 8
-3|6n -2| = 8-5
-3|6n -2| = 3
|6n -2| = 3/-3
|6n -2| = -1
Now, solve absolute value
No solutions.

Because absolute value cannot be less than 0.

I hope that's help !

5 0

3 years ago