Zeros Of A Polynomial Function If for x = a, the value of the polynomial p(x) is 0 i.e., p(a) = 0; then x = a is a zero of the polynomial p(x).For Example: (i) For polynomial p(x) = x – 2; p(2) = 2 – 2 = 0 ∴ x = 2 or simply 2 is a zero of the polynomial p(x) = x – 2. (ii) For the polynomial g(u) = u2 – 5u + 6; g(3) = (3)2 – 5 × 3 + 6 = 9 – 15 + 6 = 0 ∴ 3 is a zero of … [Read more...] about Zeros Of A Polynomial Function
Polynomials Examples
Types Of Polynomials
Types Of Polynomials (i) Based on degree : If degree of polynomial isExamples1. One Linear x + 3, y – x + 2, √3x –32. Two Quadratic 2x2 –7, , x2 +1+ 3y3. Three Cubic x3 + 3x2 –7x+8, 2x2+5x3+7,4. Four bi-quadratic x4 + y4 + 2x2y2, x4 + 3,…(ii) Based on Terms : If number of terms in polynomial … [Read more...] about Types Of Polynomials
Algebraic Expression
Algebraic Expression https://www.youtube.com/watch?v=X7LMvlboXW4Any combination of literal numbers or variables and numbers (numerals) connected by +, –, × or ÷ signs is called an algebraic expression. For example, 5, 6x, a + b × c, 4 × m + n, x – y ÷ z are algebraic expressions. The perimeter P of a triangle whose sides are a, b and c is given by P = a + b + c, area of … [Read more...] about Algebraic Expression
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
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