Question
Rewrite the polynomial as a praduct of its llnear factors 7x^3-14x^2-21x One of the zeros of the function is 0. square
Solution
4.7
(337 Votes)
Quinn
Professional ยท Tutor for 6 years
Answer
###
Explanation
## Step 1: Factor out the Greatest Common Factor (GCF)### The GCF of
,
, and
is
. Factoring it out gives
.## Step 2: Factoring the Quadratic Expression### The quadratic expression
can be factored as
. This is because we are looking for two numbers that multiply to -3 and add to -2. Those numbers are -3 and 1.## Step 3: Combining the Factors### Combining the GCF and the factored quadratic gives the complete factorization:
.