factor completely.\n$5x^{2}+25x + 20=$
factor completely.\n$5x^{2}+25x + 20=$
Answer
Explanation:
Step1: Factor out the GCF
First, find the greatest - common factor of the coefficients 5, 25, and 20. The GCF of 5, 25, and 20 is 5. [5x^{2}+25x + 20=5(x^{2}+5x + 4)]
Step2: Factor the quadratic expression
Factor the quadratic expression (x^{2}+5x + 4). We need to find two numbers that multiply to 4 and add up to 5. The numbers are 1 and 4. [x^{2}+5x + 4=(x + 1)(x + 4)]
Answer:
[5(x + 1)(x + 4)]