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konstantin123 [22]
2 years ago
8

Brainliest 5 stars Thanks! Use the Remainder Theorem.

Mathematics
1 answer:
GalinKa [24]2 years ago
5 0

Answer:

If f(1)=0 then 1 is a root and (x-1) is a factor of f(x). divide f(x) by (x-1). you now have a quadratic. Find its roots by methods you know.  

actually this factors by grouping:

f(x)=x³+3x²-x-3

= x²(x+3)-1(x+3)

=(x+3)(x²-1)

=(x+3)(x-1)(x+1) // difference of squares

By zero product property roots are

-3, -1, 1

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How many odd positive integers less than 300 can be written using the numbers 2,4,5,and 8
DENIUS [597]

Answer:

4!

Step-by-step explanation:

Given four numbers 2, 4, 6, 8.

The numbers can be arranged to form an odd number which is less than 300.

That means we have three spaces to fill this. We can try out the different combination of the numbers.

Note that the numbers should be odd. So, in the unit digit should only be 5. 2, 4, 8 would make the number even.

Also, the first digit can only be two because other numbers would make it bigger than 300.

So, 2 ___ 5 is fixed. The middle digit could be any of the four.

So, 225; 245; 255 and 285 all satisfy the conditions.

So, four numbers can be formed.

5 0
3 years ago
Our team was treated to maggianos for winning our last game of the season. The total bill was $520. Our coach wants to leave a 2
Vlad1618 [11]

Answer:

$130

Step-by-step explanation:

To find the tip you have to change the percent into a fraction first. Since percent is out of a 100, 25% is 25/100 or 1/4. Multiplying 1/4 by 520 you get 130, which is how much the coach will tip.

8 0
3 years ago
1.64 written as fraction in simplest form
erastovalidia [21]
1.64 =  \frac{1.64 \times 100}{1 \times 100} = \frac{164}{100} = \frac{41\times 4}{25\times 4} = \boxed {\frac{41}{25} }
8 0
3 years ago
In a certain test, the number of successful candidates was three times than that of unsuccessful candidate, if there had been 16
Natali5045456 [20]

Answer:

The number of candidates is 136.

Step-by-step explanation:

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3 years ago
Dan earns £7.80 per hour. How much will he earn for 7 hours work
katen-ka-za [31]

Answer: £54.60

Step-by-step explanation:

7.80 x 7 = £54.60

***If you found my answer helpful, please give me the brainliest. :) ***

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2 years ago
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