A level maths factor theorem
help in part (b) please

Given polynomial .

(a) To show that (x – 3) is a factor of f(x).

Factor theorem:

A polynomial f(x) has a factor of (x – a), if and only if f(a) = 0.

       = 0

f(3) = 0

Hence (x – 3) is a factor of f(x).

(b)

Here is common in first 2 terms and 2 is common in next 2 terms.

Now, (x – 3) is common in both terms.

and

x = 3 and

3 is the real root.

using quadratic formula solve and find the other roots.

These are complex roots.

Hence 3 is the only real root of the equation f(x) = 0.

Quadratic has no real roots

Step-by-step explanation:

4x³ - 12x² + 2x - 6

4x²(x - 3) + 2(x - 3)

(4x² + 2)(x - 3)

The quadratic factor, 4x² + 2 has ni real roots because:

B² - 4AC

(0)² - 4(4)(2)

-32 < 0

So the only real root is from (x - 3), which is 3

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.

answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.