Remainder Theorem Theorem: Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a).Utilize Remainder Theorem Calculator to get the remainder of a difficult polynomial expression. Check this tool to find the exact answers quickly for problems.Proof: Let … [Read more...] about Polynomial Remainder Theorem

# Polynomials

## Algebraic Identities Of Polynomials

Algebraic Identities Of PolynomialsYou can also read https://www.aplustopper.com/ncert-solutions-for-class-10-maths-chapter-2/ for more solved examples.People also askDivision algorithm for polynomials Factorization of polynomials using factor theoremAlgebraic Identities Of Polynomials Example Problems With … [Read more...] about Algebraic Identities Of Polynomials

## Values Of A Polynomial Function

Values Of A Polynomial Function For a polynomial f(x) = 3x2 – 4x + 2. Values Of A Polynomial To find its value at x = 3; replace x by 3 everywhere. So, the value of f(x) = 3x2 – 4x + 2 at x = 3 is f(3) = 3 × 32 – 4 × 3 + 2 = 27 – 12 + 2 = 17. Similarly, the value of polynomial f(x) = 3x2 – 4x + 2, (i) at x = –2 is f(–2) = 3(–2)2 –4(–2) + 2 = 12 + 8 + 2 = 22 (ii) at x … [Read more...] about Values Of A Polynomial Function

## Polynomials In One Variable

Polynomials In One Variable If a polynomial has only one variable then it is called polynomial in one variable. P(x) = 2x3 + 5x – 3 Cubic trinomial Q(x) = 7x7 – 5x5 – 3x3 + x + 3 polynomial of degree 7 R(y) = y Linear, monomial S(t) = t2 + 3 Quadratic … [Read more...] about Polynomials In One Variable

## How Do You Determine The Degree Of A Polynomial

Degree Of A Polynomial The greatest power (exponent) of the terms of a polynomial is called degree of the polynomial. For example : In polynomial 5x2 – 8x7 + 3x: (i) The power of term 5x2 = 2 (ii) The power of term –8x7 = 7 (iii) The power of 3x = 1 Since, the greatest power is 7, therefore degree of the polynomial 5x2 – 8x7 + 3x is 7 The degree of polynomial : (i) 4y3 … [Read more...] about How Do You Determine The Degree Of A Polynomial