
How do you solve by using the factoring method ?
Answer
415.2k+ views
Hint: In this question, we need to solve the given expression and need to find the roots of the given expression by using the factoring method . An algebraic expression is nothing but it is built up with integers, constants, variables and mathematical operations (addition, subtraction, multiplication, division etc… ) In mathematics, a symbol (letter) which doesn’t have a value is called a variable. Similarly when it has a fixed value it is called constant .Here we need to split the given expression and equate the expression to . Then we can easily find the roots of the given expression.
Complete step-by-step solution:
Given,
In the given expression, the product of two simpler linear expressions is equal to . Thus we can find the value of by splitting each expression to .
and
On simplifying,
We get,
and
Thus we get,
and
Thus, and are two roots of the equation
Final answer :
The two roots of the equation are and .
Note: An algebraic expression is nothing but it is a product of two simpler linear expressions. The concept used in this question to solve the given expression is solutions of quadratic equations by Factorization . Factorization is nothing but writing a whole number into smaller numbers of the same kind. By using algebraic formulas and also by taking the common terms outside, we can factorize the given expression. 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. The formula of factorization is
Where are the exponential powers of the factor. 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 step-by-step solution:
Given,
In the given expression, the product of two simpler linear expressions is equal to
On simplifying,
We get,
Thus we get,
Thus,
Final answer :
The two roots of the equation
Note: An algebraic expression is nothing but it is a product of two simpler linear expressions. The concept used in this question to solve the given expression is solutions of quadratic equations by Factorization . Factorization is nothing but writing a whole number into smaller numbers of the same kind. By using algebraic formulas and also by taking the common terms outside, we can factorize the given expression. 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. The formula of factorization is
Where
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Trending doubts
Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE

Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE

Give two reasons to justify a Water at room temperature class 11 chemistry CBSE
