## How do you find a and b of a polynomial?

So, put the zeroes of the polynomial in the given polynomial and form two-equation from it and solve two equations in two variable methods to find the value of a and b. Now substitute the value of a in any one of the equations and calculate the value of b.

## What is A and B in a polynomial function?

In the standard formula for degree 1, a represents the slope of a line, the constant b represents the y-intercept of a line. E.g., y = 2x+3(see Figure 2) here a = 2 and b = 3. Figure 2: Graph of Linear Polynomial Functions.

**What is converse of factor theorem?**

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. Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This proves the converse of the theorem.

**What is factor theorem?**

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.

### What is the a value in a polynomial?

The value of the polynomial at a point is defined as the value obtained at a specific point for the given function. For example, let the polynomial function be P(x)= x+1.

### What is a factor of a polynomial function?

A factor is one of the linear expressions of a single-variable polynomial. A polynomial can have several factors, such as the factors… (x – 1) and (x + 3). Zeros. When polynomials are graphed, many of them intersect the x-axis.

**How do you Factorise using factor theorem?**

Factorization Of Polynomials Using Factor Theorem

- Obtain the polynomial p(x).
- Obtain the constant term in p(x) and find its all possible factors.
- Take one of the factors, say a and replace x by it in the given polynomial.
- Obtain the factors equal in no. to the degree of polynomial.
- Write p(x) = k (x–a) (x–b) (x–c) …..

**Is 51 a polynomial?**

51 is a polynomial.

## What is the formula of a B?

(a + b)2 = a2 + 2ab + b. (a – b)2 = a2 – 2ab + b. (a + b) (a – b) = a2 – b. (a + b)3 = a3 + b3 + 3ab (a + b)

## What is A+ B whole?

The formula for A plus B whole cube is: (A+B)3 = A3+B3+3AB(A+B) Or. (A+B)3 = A3+B3+3A2B+3AB2. Learn more here: Algebraic Identities.

**What is factor theorem Class 11?**

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. Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0.

**What is the factor theorem?**

Hence, (x – c) is a factor of the polynomial f (x). Hence, the Factor Theorem is a special case of Remainder Theorem, which states that a polynomial f (x) has a factor x – a, if and only if, a is a root i.e., f (a) = 0. How to use the Factor Theorem? Let’s see a few examples below to learn how to use the Factor Theorem.

### What is factor theorem class 9 Maths polynomial?

Factor theorem class 9 maths polynomial enables the children to get a knowledge of finding the roots of quadratic expressions and the polynomial equations, which is used for solving complex problems in your higher studies. Consider the polynomial function f (x)= x 2 +2x -15 The values of x for which f (x)=0 are called the roots of the function.

### What does the factor theorem remove from a polynomial?

The factor theorem removes all the known zeros from a given polynomial equation and leaves all the unknown zeros. The resultant polynomial has a lower degree in which the zeros can be easily found out.

**How do you prove the converse of the factor theorem?**

Also, we can say, if (x-a) is a factor of polynomial f (x), then f (a) = 0. This proves the converse of the theorem. Let us see the proof of this theorem along with examples. What is a Factor Theorem?