Find a polynomial of the specified degree that satisfies the given conditions. degree 4; zeros −5, 0, 1, 6; coefficient of x3 is 4

We have to determine the polynomial of degree 4 with zeros −5, 0, 1, 6 and the coefficient of is 4.

Since the zeros of the given polynomial are -5,0,1 and 6.

Therefore,

Since the coefficient of is 4, therefore, we get

is the required polynomial with degree 4, coefficient  of as 4 and zeros as -5,0,1 and 6.

c

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step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).