The expression that is equivalent to x² + 3x + 2 is B) (x+2)(x+1)
Step - by - Step Explanation
What to find?
The equivalent expression to the given expression.
Given:
x² + 3x + 2
To find the equivalent expression, we will need to factorise.
To factorise, find two numbers such that its product gives 2 and its sum gives 3.
The two numbers are 1 and 2.
Replace the co-efficient of x by these two numbers.
That is;
x² + 2x + x + 2
x(x+2) + 1(x+2)
(x+2)(x+1)
Therefore the equivalent expression is (x+2)(x+1)
