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Let h be a polynomial of degree 5, and suppose that \(h(x) = (x^2-7x+10) \cdot g(x)\), where g(x) is a polynomial of degree b. Find b.

 

 

SCZ

 Sep 4, 2021
 #1
avatar+22158 
+2

g(x) is of degree 3.

 

For example, if g(x) = x3, then (x2 - 7x + 10)(x3}  =  x5 - 7x4 + 10x3; a ploynomial of degree 5.

 

If g(x) has a degree larger than 3, h(x) will have a degree larger than 5.

If g(x) has a degree smaller than 3, h(x) will have a degree smaller than 5.

 Sep 4, 2021
 #2
avatar+47 
+1

Thank you so much!

SmartCookiezZ  Sep 4, 2021

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