What is a quadrict function with only the two real zeros given x = -4 and x= -1
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Answer:
[tex]y=x^4+5x^3+5x^2+5x+4[/tex]
Step-by-step explanation:
Quadratic function is the function whose degree is 2.
[tex]f(x)=ax^2+bx+c[/tex]
We have been given two zeroes of the quadratic function:
We will put values of x in the function. The function where we will get zero is the quadratic function.
Option 4 is the quadratic function.
Put x=-4 in [tex]y=x^4+5x^3+5x^2+5x+4[/tex]
[tex]\Rightarrow y=(-4)^4+5(-4)^3+5(-4)^2+5(-4)+4[/tex]
On simplification we get:
[tex]y=0[/tex]
Now, put x=-1 in [tex]y=x^4+5x^3+5x^2+5x+4[/tex]
[tex]y=(-1)^4+5(-1)^3+5(-1)^2+5(-1)+4[/tex]
On simplification we get:
[tex]y=0[/tex]