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# Pls help

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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
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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
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Thank you so much!