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The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 + 2x + 3. Given that (x-3) is a factor of f(x), express f(x) in factorised form.

f(x) = (x-3)(2x^2 - x - 1)f(x) = (x-3)(2x +1)(x-1)x = 3, -1/2, 1 are roots of the cubic equation.

Answered by Oliver M. Maths tutor
7678 Views

Solve the follow simultaneous equation:4x + y= 4 and 2x + y= 8

4x + y= 42x + y = 8
y= 4-4xy= 8 -2x4- 4x = 8 -2x-4 = 2xx= -2y= 12

Answered by Aatifa K. Maths tutor
3119 Views

Write 2x^2 - 16x + 6 in the form a(x + b)^2 + c where a, b and c are constants to be determined.

2x^2 - 16x + 6= 2(x^2 - 8x) + 6= 2((x-4)^2 - 16) + 6= 2(x - 4)^2 - 26So a = 2, b = -4 and c = -26

Answered by Haris A. Maths tutor
6266 Views

Sarah asked 20 people at a tennis tournament how they travelled there. She found that 13 of them travelled by car. Estimate how many of the total 2000 people at the tournament travelled by car.

First calculate the fraction of the sample that travelled by car to be 13/20.Next multiply the total population size by this proportion to find the estimate of the total number of people who travelled by ...

Answered by Scarlett O. Maths tutor
2147 Views

expand and simplify (x+6)(x-8)

The method used to solve this problem can be referred to as the FOIL Method, this is an acronym that stands for First, Outer, Inner,

Answered by Poppy D. Maths tutor
7996 Views

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