Question

It is possible to find linear factors of any polynomial. true or false

Answer 1

I think its true, i may be wrong tho.

Answer 2

Answer:

True. It is possible to find linear factors of a polynomial      

Step-by-step explanation:

Linear factors are basically the building blocks of a higher degree polynomial.

They could be of the form ax + b, where a is the coefficient of x and b is a constant.

Linear factors of a polynomial can be found with the help of various techniques.

For quadratic equation we can use split the middle term technique, various algebraic identities and linear factorization theorem can be used as well.

Example:

$1.~ (x^2 - 9) = (x+3)(x-3)\\2.~3x^2 + 11x +10 =0\\\Rightarrow 3x^2 + 5x + 6x + 10 =0\\\Rightarrow (3x + 5)(x + 2)$