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Rasek [7]
3 years ago
8

Which expressions are polynomials?

Mathematics
2 answers:
elena55 [62]3 years ago
8 0

Answer: 30y2+x and 30y2+x12

Step-by-step explanation:

A polynomial is an algebraic expression consisting of more than one term.

In thise sense, the algebraic expressions are composed of several elements: Terms, Coefficients, Signs, Variables and Exponents. In this case we will focus on the first.

The terms are composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).

For example, in the following expression:

2x-3x

We have two terms separated by the negative sign (-):

2x is the first term

-3x is the second term

Now, according to this explanation, the only two options that have more than one term to be called a polynomial (<em>poly</em> means <u>many</u> and <em>nomial</em> means <u>terms</u>) are the first two:

30y2+x and 30y2+x12

solmaris [256]3 years ago
3 0

Answer:

Option 1 and 2 are polynomials.

Step-by-step explanation:

To find : Which expressions are polynomials?

Solution :

Polynomials is defined as algebraic expressions which is form by combining numbers and variables using arithmetic operations such as addition, subtraction, multiplication, division, and exponentiation.

Now we examine the given expression,

1) 30y^2+x

The expression has got more than one term.

So, it is a polynomial.

2) 30y^2+x^{12}

The expression has got more than one term.

So, it is a polynomial.

3) 30y^2x

The expression has got just one term.

So, it is not a polynomial.

4) 30y^2

The expression has got just one term.

So, it is not a polynomial.

Therefore, Option 1 and 2 are polynomials.

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What is the additive inverse of the polynomial -7y^2x^2y-3xy-7x^2
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Answer:

Answer: 7y²-x²y+3xy+7x²

Step-by-step explanation:


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Trigonometry and Geometric Modeling; the ratios, which are called trigonometric ratios, include __________, ____________, and __
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Answer:

Sine, cosine and tangent

Step-by-step explanation:

Given a right triangle you can find the sine (or cosine, or tangent) of either of the non- 90° angles.

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3 years ago
Translate the English phrase into an algebraic expression, then evaluate the expression
slamgirl [31]

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Step-by-step explanation:

4 0
2 years ago
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1.
Paraphin [41]

Answer:

a. – 4 or –3

b. –4 or –2

c. 4 or –3

d. 7 or 4

Step-by-step explanation:

To factorize the above expression, multiply the first and last term together, then find two factors of the result such that their sum will result to the middle term of the expression.

Now, we shall give the answers to the question.

a. x² + 7x + 12 = 0

x² + 3x + 4x + 12 = 0

Factorise

x(x + 3) + 4(x + 3) = 0

(x + 4)(x + 3) = 0

x + 4 = 0 or x + 3 = 0

x = 0 – 4 or x = 0 – 3

x = – 4 or –3

Therefore, the roots of the equation are – 4 or –3

b. t² + 6t + 8 = 0

t² + 2t + 4t + 8 = 0

Factorise

t(t + 2) + 4(t + 2) = 0

(t + 4)(t + 2) = 0

t + 4 = 0 or t + 2 = 0

t = 0 – 4 or t = 0 – 2

t = –4 or –2

Therefore, the roots of the equation are –4 or –2

c. 2n² – 2n – 24 = 0

Divide through by 2

n² – n – 12 = 0

n² + 3n – 4n – 12 = 0

Factorise

n(n + 3) – 4(n + 3) = 0

(n – 4)(n + 3) = 0

n – 4 = 0 or n + 3 = 0

n = 0 + 4 or n = 0 – 3

n = 4 or n = –3

Therefore, the roots of the equation are 4 or –3

d. y² – 11y + 28 = 0

y² – 4y – 7y + 28 = 0

Factorise

y(y – 4) – 7(y – 4) = 0

(y – 7)(y – 4) = 0

y – 7 = 0 or y – 4 = 0

y = 0 + 7 or y = 0 + 4

y = 7 or 4

Therefore, the roots of the equation are 7 or 4.

4 0
2 years ago
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