Find the zero of the polynomial in each of the following cases (I) P(x) = 3x - 2
(II) P(x) = 9x
(III) P(x) = cx + d, c ≠ 0, c and d are real numbers​

(I) 2/3 is a zero of P(x)

(II) 0 is a zero of P(x)

(III) (-d/c) is a zero of P(x)

Step-by-step explanation:

Here, P(x) = 3x - 2

To find the zeroes of P(x)

let P(x) = 0

∴ 3x - 2 = 0

∴ 3x = 2

∴ x = 2/3

Thus, 2/3 is a zero of P(x)

Here, P(x) = 9x

To find the zeroes of P(x)

let P(x) = 0

∴ 9x = 0

∴ x = 0/9

∴ x = 0

Thus, 0 is a zero of P(x)

Here, P(x) = cx + d

To find the zeroes of P(x)

let P(x) = 0

∴ cx + d = 0

∴ cx = -d

∴ x = (-d/c)

Thus, (-d/c) is a zero of P(x)

-TheUnknownScientist

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

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).