Answer:
Step-by-step explanation:
First, extract the greatest common factor of the numerical as well as the variable parts:
the GCF of 5 and 80 is "5", and the GCF between and
is
, then:
Now, we can re-write the binomial in parenthesis as a difference o squares to be able to factor out even further:
we now repeat the process for the binomial difference:
So finally the complete factorization is:
Answer:
m=12
Explanation:
Given any quadratic function, y=ax²+bx+c.
We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:
• If D>0, the roots are real and unequal.
,• If D=0, the roots are real and equal.
,• If D<0, the roots are complex.
In our given equation:
For the function to have exactly one zero, the value of D=0.
The value of m for which the function will have one zero is 12.