What is the factorized form obtained by taking the common factor out of \(4x^5+12x^4\)?
Answer and explanation
Correct answer: \(4x^4(x+3)\)
The greatest common factor of \(4x^5\) and \(12x^4\) is \(4x^4\). Taking it outside gives \(4x^5+12x^4=4x^4(x+3)\), since \(x^5\div x^4=x\) and \(12x^4\div 4x^4=3\). Therefore, option A is correct. Exam tip: divide every term by the common factor to determine the expression inside the parentheses.
Frequently asked questions
What is the correct answer to this question?
\(4x^4(x+3)\)
Why is this the correct answer?
The greatest common factor of \(4x^5\) and \(12x^4\) is \(4x^4\). Taking it outside gives \(4x^5+12x^4=4x^4(x+3)\), since \(x^5\div x^4=x\) and \(12x^4\div 4x^4=3\). Therefore, option A is correct. Exam tip: divide every term by the common factor to determine the expression inside the parentheses.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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