Let us learn about factoring of polynomials
Polynomial factorization defined as factoring a polynomial into irreducible polynomials over a given area. Factoring of polynomials is the inverse process of multiplying polynomials. After factoring of polynomial, if you divide the polynomial with the given factors then the remainder will be zero. Basically polynomial is referred as an algebraic expression that has at least 4 terms. You can express that polynomial as a multiple of 2 or more polynomial that has less than 4 terms.
1: x 2 - y 2 = (x + y)(x - y)
2: x 2 + 2xy + y 2 = (x + y) 2
3: x 2 - 2xy + y 2 = (x - y) 2
4: x 3 + 3x 2y + 3xy 2 + y 3 = (x + y) 3
5: x 3 - 3x 2y + 3xy 2 - y 3 = (x - y) 3
The best example on factoring of polynomials:
3x3- 81 = 3(x3 - 27)
= 3(x3 - 33)
= 3(x - 3)(x2 + 3x + 9)
The best example on factoring of polynomials:
7x2 + 14xy + 7 = 7(x2 + 2xy + 1)
= 7(x + 1)2
Very informative post. Physics Tutors in Delhi
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