5. Which of the identity is used 1 point
to factorise th following
polynomial ? *
x^2– X – 6
Answers
Answer:
By middle term splitting method
Solution:
x^2-x-6
x^2-(3-2)x-6
x^2-3x+2x-6
x(x-3)+2(x-3)
(x-3)(x+2)
Answer:
The simplest type of factoring involves taking out a common factor from two or more terms.
For example, each term in the expression 6x2y − 4x is divisible by 2 and by x. Thus, 2x is a common factor. Since there is no other common factor, 2x is the highest common factor. We divide each term by and see what is left. Thus,
6x2y − 4x = 2x(3xy − 2).
The terms in the expression in the brackets have no common factor (except 1) and so this expression cannot be factorised further.
Removing common factors can also be performed on more than two terms.
EXAMPLE
Factor 6a2b − 8ab + 10ab2.
SOLUTION
The highest common factor of the three terms is 2ab so
6a2b − 8ab + 10ab2 = 2ab(3ab − 4 + 5b)