Question

if zeroes of the polynomial px^2+qx+3 are reciprocal to each other q=3,p=3,p-q=0,p+q=0​

Answer 1

Answer:

if zeroes of the polynomial px2+qx+3 are reciprocal to each other is p=3.

Step-by-step explanation:

• Polynomial is defined as the expression in which they consist of variable, exponents and constants.
• They are combined to form an operation of mathematics related to addition, subtraction, multiplication and division.
• They also involve a non-negative integer and exponentiation of variables.

• Types of polynomial:

1) Monomial:

A expression which contains term which is one.

Examples:

5x, 3

2) Binomial:

An expression which contains term which is two.

Examples:

-8x-7

12a-5b

3) Trinomial:

An expression which contains terms which are three.

Examples:

4x square+9x+4

Given that:

Zeros of the polynomial = px2+qx+3

To find:

The required suitable condition related to reciprocal of zeros=?

Solution:

Let us consider that,

px2+qx+3

Let us understand that when value of reciprocal to each other is zero, the product of zeros will be equal to 1.

Now let us divide the value, we get,

3/p =1

Now, multiply 1 with 3, we get

P=3

Therefore, we know that, the required suitable condition related to reciprocal of zeros is p=3.

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Answer 2

Answer:

p=3 if the zeroes of the polynomial px2+qx+3 are opposites of one another.

Explanation:

A polynomial is a mathematical expression made up of constants, exponents, and variables.

They come together to create a mathematical operation that involves addition, subtraction, multiplication, and division.

They also involve the exponentiation of variables and a non-negative integer.

Types of a polynomial:

(A) Monomial:

A polynomial with only one term is called a monomial. An algebraic expression known as a monomial typically has one term, but it can also include several variables and a higher degree.

Examples:

5x, 3

(B) Binomial:

A binomial is a polynomial in algebra that is created by adding two terms, each of which is a monomial. After monomials, it is the most basic type of sparse polynomial.

Examples:

• -8x-7
• 12a-5b

(C) Trinomial:

Trinomial names can be used in taxonomy. See Smithsonian trinomial for information on how it is used to designate archaeological sites in the United States.

Examples:

• $4x^2+9x+4$

Given:

Zeros of the polynomial = $px^2+qx+3$

To find:

Zeroes of the polynomial

Solution:

$px^2+qx+3$

Let's remember that the product of zeros will equal 1 when the reciprocal of each number is zero.

Now let us divide the value, we get,

3/p =1

Now, multiply 1 by 3, and we get

P=3

p=3 if the zeroes of the polynomial px2+qx+3 are opposites of one another.

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