Question

Factorization of polyomials

Answer 1

$\huge\textbf{Answer:-}$

• The roots of polynomials are those that completely divide the polynomial. We derive the origin of the polynomials and we multiplied them. The solutions which are solved by factorizing are the roots of this polynomial.

• Before starting to remove the original we see if we can take anything common in all the positions so that the equation becomes a bit simpler.

• Now we take the middle position and we have to divide it two and so that the sum of their multiples is equal to the coefficient of the median term and the product is the third term.

• Now in this equation there will be four terms. Now we have to take a number common in the first two terms, and in the last two posts, we have to take the number common so that the first post will be the last post.

• Now we will have two tablets. We will keep both of them equal to zero, so that we have two values of x, one or both of them will be the roots of the equation.

Example:-

Question:-

(x4 + 9x2 -2x2 - 18 = 0)

Answer:-

• For this to happen, the two parts of 7x2 are 9 × 2 and -2 × 2.

• As we can see, the product of 9 and -2 is 18 and the sum is 7.

• So we have done two parts of it.

• Now we have to take general in the first two and the last two terms.