## What is a quotient example?

Quotient is the answer obtained when we divide one number by another. For example, if we divide the number 6 by 3, we get the result as 2, which is the quotient.

### What is the quotient of x3 6×2 11x 6 x2 4x 3 )?

The quotient of (x3 + 6×2 + 11x + 6) ÷ (x2 + 4x + 3) is (x + 2).

**What is quotient and remainder in division?**

Quotient – The resultant of the division is called the quotient. Remainder – The number that is left after division is called the remainder.

**What is the first term of the quotient?**

The quotient is the answer you get when you divide one number by another. We generally do a long division of polynomials. Look at the first term of both dividend and divisor. In the dividend, the first term is x3 while x is the first term of the divisor.

## How do you write quotient and remainder?

quotient = dividend / divisor; remainder = dividend % divisor; Note: The program will throw an ArithmeticException: / by zero when divided by 0.

### What is quotient form?

Definition of form quotient : the ratio of the breast-high diameter of a tree to the diameter at some higher point.

**What means quotient in math?**

Definition of quotient 1 : the number resulting from the division of one number by another. 2 : the numerical ratio usually multiplied by 100 between a test score and a standard value.

**What is a quotient of a number?**

The result of dividing two numbers (the dividend by the divisor) is called the quotient.

## What is factor theorem Class 9?

In mathematics, factor theorem is used when factoring the polynomials completely. It is a theorem that links factors and zeros of the polynomial. According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and ‘a’ is any real number, then, (x-a) is a factor of f(x), if f(a)=0.

### How do you find the zeros of a cubic polynomial x3 6×2 11x 6?

Let p(x) = x3 – 6×2 + 11x – 6 Hence, 1, 2 and 3 are the zeroes of the given polynomial x3 – 6×2 + 11x – 6.

**What is the quotient of 532 and 9?**

The quotient (integer division) of 532/9 equals 59; the remainder (“left over”) is 1. 532 is the dividend, and 9 is the divisor.

**What is the difference between remainder theorem and factor theorem?**

Basically, the remainder theorem links remainder of division by a binomial with the value of a function at a point, while the factor theorem links the factors of a polynomial to its zeros.

## How do you find the quotient of a polynomial?

When dividing f(x) = x4 − 3×3+4×2 − 4x+10 by g(x) = x2 − 3,we find the following (x4 − 3×3+4×2 − 4x

### How to find the quotient when dividing polynomials?

– Write this 2x² at the top. – Multiply 2x² by 2x. So we get 4x³. – Subtract 4x³ from 4x³ + 2x².

**How do you calculate polynomial?**

– Know how far left or right the roots may be – Know how many roots (the same as its degree) – Estimate how many may be complex, positive or negative

**How to find the quadratic approximation of a quotient?**

Quadratic Approximation: Example. Example problem: Find the quadratic approximation for f (x) = xe-2x near x = 1. Step 1: Find the first derivative of the function. Use the product rule for this function (with x and e -2x) and then the chain rule (for e -2x ): f′ (x) = e -2x – 2xe -2x = e -2x (1 – 2x). Step 2: Find the second derivative