Question

One of the factors of the expression $(2x{)}^2+10x$ is $2x+3$.

• A. True
• B. False

Answer 1

The correct option is B

False

The expression $(2x{)}^2+10x$ can be written as

$4x^2+10x$...(i)

$4x^2$ can be written as

$4x^2=2\times 2\times x\times x$....(ii)

$10x$ can be written as

$10x=2\times 5\times x$....(iii)

From (ii) and (iii), taking $2x$ as the common factor, we get

$4x^2+10x$

=$2x(2x+5)$

Therefore, the factors of $(2x{)}^2+10x$ are $2x$ and $(2x+5)$.

Hence, the given statement is false.