
Factorise
Answer
414.6k+ views
Hint: In this question, we need to factorise the given polynomial. Given expression is . Here we need to factorise the given expression and need to find the factors of the polynomial. Factorization is nothing but writing a whole number into smaller numbers of the same kind. By taking the common terms outside,we can factorize the given expression. We can also factorise the given polynomial by using quadratic formula.
Complete answer:
Given,
Let us consider the given expression as
Thus,
This can be factored by splitting the middle term of the expression.
By using sum-product pattern, we can write the middle term as
Thus ,
Now we need to take the common terms outside.
We can take outside from the first two terms and as common from the next two terms.
⇒
Here is common,
Thus we get,
Thus the factors of are and
Final answer :
The factors of are and .
Note:
In other words, factorization is known as the decomposition of the mathematical objects to the product of smaller objects. Matrices also possess the process of factorization.There are five methods in factorization. We can reduce any algebraic expressions into smaller objects where the equations are represented as the product of factors.
Complete answer:
Given,
Let us consider the given expression as
Thus,
This can be factored by splitting the middle term of the expression.
By using sum-product pattern, we can write the middle term
Thus ,
Now we need to take the common terms outside.
We can take
⇒
Here
Thus we get,
Thus the factors of
Final answer :
The factors of
Note:
In other words, factorization is known as the decomposition of the mathematical objects to the product of smaller objects. Matrices also possess the process of factorization.There are five methods in factorization. We can reduce any algebraic expressions into smaller objects where the equations are represented as the product of factors.
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