which terms complete the factorization of x²+27x + 162 represented by the model?\no 27, 9x, 18x\no 9, 9x…
which terms complete the factorization of x²+27x + 162 represented by the model?\no 27, 9x, 18x\no 9, 9x, 18x\no 27, 9x, 27x\no 9, 9x, 27x
Answer
Explanation:
Step 1: Find two numbers with product 162 and sum 27
Given the constant term is 162 and the linear coefficient is 27. Since one term in the model is 18, the other number is ( \frac{162}{18} = 9 ).
Step 2: Form the linear terms from the numbers
The two numbers 18 and 9 generate linear terms ( 18x ) and ( 9x ), which add up to ( 27x ).
Answer:
9, 9x, 18x