Answer:
Hello!The answer would be D-(x-8) and (x-3)
Step-by-step explanation:
Your welcome :)
The factors of the function, If the zeros of a quadratic function are 3 and 8 will be (x - 3) and (x + 8), i.e. option D.
What is quadratic function?
Quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.
We have,
Zeros of a quadratic function are 3 and 8,
Now,
Let,
[tex]\alpha = 8[/tex] and [tex]\beta=3[/tex]
So,
Now,
Using sum of zeros and product of zeros,
i.e.
[tex]\alpha+\beta=8+3=11[/tex]
And,
[tex]\alpha *\beta =8*3=24[/tex]
So,
The quadratic equation will be in form of ,
[tex]x^2-(\alpha+\beta)x+\alpha\beta=0[/tex]
i.e.
[tex]x^2-(8+3)x+24=0[/tex]
i.e.
[tex]x^2-8x-3x+24=0[/tex]
taking common,
x(x + 8) - 3(x - 8) = 0
(x - 3) (x + 8) = 0
So,
The factor of the quadratic equation are (x - 3) and (x + 8).
Hence, we can say that the factor of the quadratic equation are (x - 3) and (x + 8), i.e. option D.
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