Is x-10 a factor of f(x)=5x^3+60x^2+109x+90

Mathematics

1 answer:

RUDIKE [14]2 years ago

4 0

Answer:

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

You might be interested in

X²=14x-45 step by step please

dolphi86 [110]

Answer:

X=9 and X=5

Step-by-step explanation:

So you want to get one side to equal zero so you can factor and find x. I recommend subtracting 14x and adding 45 to both sides so you don't have to deal with a negative quadratic.

X^2 - 14X +45 = 0

Now you can factor. Your looking for two factors that equal 45 and add to -14

All factors of 45:

1 and 45, 3 and 15, 5 and 9, -1 and -45,

-3 and -15, -5 and -9

So out of those combinations -5 and -9 both multiply to 45 and add up to -14 so these are our common factors

(X-5)(X-9)=0

X-5=0 add 5 to both sides X=5

X-9=0 add 9 to both sides X=9

5 0

2 years ago

Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 b

Vlad [161]

Answer:

The first graph best represent the given scenario.

Step-by-step explanation:

Given that Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work. we have to find which graph best represent the scenario.

In the first graph, it is given The line increases for 10 minutes means the distance as well as time increases i.e Kent walked for 10 minutes then, stays horizontal for 15 minutes means no distance covered i.e stop or wait for 15 minutes. After that graph increases rapidly for another 25 minutes, that means rode the bus for 25 minutes then increases slowly for 5 minutes indicate walked to work.

The above graph best represent the scenario.

All three option is analysed by graphing which doesn't show the above given scenario.