f(x)=3x 2
+12x+5f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 12, x, plus, 5
What is the value of the discriminant of f?
Answers
Answered by
2
Answer:
Discriminant = 84
The polynomial has two real distinct roots
Step-by-step explanation:
Given: f(x)=3x^2+12x+5f(x)=3x
2
+12x+5
To find: discriminant of the given function and number of distinct real zeros
Solution:
For a polynomial f(x)=ax^2+bx+cf(x)=ax
2
+bx+c , discriminant is given by D=b^2-4acD=b
2
−4ac
If D > 0D>0 , then the polynomial has two real and distinct roots.
If D=0D=0 then the polynomial has two real and equal roots.
If D<0 then roots are not real.
Here, in f(x)=3x^2+12x+5f(x)=3x
2
+12x+5
a = 3, b = 12 and c = 5
D=(12)^2-4(3)(5)=144-60=84D=(12)
2
−4(3)(5)=144−60=84
As D > 0, the polynomial has two real distinct roots.
I hope it is useful for you
Answered by
0
Answer:
84 is the discriminant, with 2 the possible answers.
Step-by-step explanation:
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