Factor the polynomial. 4u^{2}-2uv

bmgf3m

bmgf3m

Answered question

2021-12-12

Factor the polynomial. 4u22uv

Answer & Explanation

sonorous9n

sonorous9n

Beginner2021-12-13Added 34 answers

Step 1
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication and non-negative integer exponentiation of variables. Factoring a polynomial means the process of decomposing a polynomial into a product of two or more polynomials.
Step 2
The given polynomial is 4u22uv. Factor the polynomial by taking the common terms out present in all terms and then regroup them and simplify as follows;
4u22uv=2u×2uv×2u
=2u(2u-v).... take the common term 2u out.
Hence, the given polynomial can be factored as 4u22uv=2u(2uv).

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