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ipn [44]
2 years ago
12

Determine the number of zeros of the polynomial function F(x) = x^4 - x^7

Mathematics
1 answer:
Tresset [83]2 years ago
5 0

Answer:

7

Step-by-step explanation:

Using fundamental theorem of algebra, there should be 7 roots, if you count multiplicity.

If you're only counting distinct roots, then there should be 4 roots.

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3 0
2 years ago
Find the value of y in the solution to the system of equations shown.<br> y= 12x+7<br> y=-6x+25
padilas [110]

Answer:  The required value of y is 19.

Step-by-step explanation:  We are given to find the value of y in the solution to the following system of equations :

y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Comparing equations (i) and (ii), we get

12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.

From equation (i), we get

y=12\times1+7=12+7=19.

Thus, the required value of y is 19.

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3 years ago
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