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LiRa [457]
4 years ago
13

Match each polynomial function with one of its factors.

Mathematics
1 answer:
insens350 [35]4 years ago
3 0
Ex.
2 {x}^{4}  + 8 {x}^{3}  + 4 {x}^{2}  + 2 {x}^{2}
This would be

2 {x}^{2} ( {x }^{2}  + 4x)(2 + 1)

How?

Group them
(2 {x}^{4 }   + 8 {x}^{3} )(4 {x}^{2}  + 2 {x}^{2} )

Make sure there is a GCF.
2 {x}^{2} ( { x}^{2}  + 4x)(2 + 1)

Hope this was clear
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What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)
DiKsa [7]
The correct answer is:  [C]:  " (0, 24) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
___________________________________________________________

          →  "  y = (x <span>− 8) (x + 3) "  ;   </span>←  Note:  Replace the "f(x)" with: "y" ; 

→  Find the "y-intercept".
___________________________________________________________

→  Note:  The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" . 

   → So;  we set plug in "0" for "x" into our equation; and solve for "y" ; 

          → " y = (x − 8) (x + 3) " ;

          →   y = (0 − 8) (0 + 3)  ; 

          →   y = (-8) * (3)  ;  
 
          →   y = - 24 ; 
___________________________________________________________

So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
 
the point at which:  "x = 0 ; y = -24 " ;

      →  that is; the point  the coordinates:  " (0, - 24) " ;
___________________________________________________________
  →  which is:  Answer choice:  [C]:  " (0, - 24) " .
___________________________________________________________
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Step-by-step explanation:

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