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Given (x-2) is a factor of ax^3 + ax^2 + ax - 42, find the value of a

let f(x) = ax^3 + ax^2 + ax - 42if x-2 is a factor of f(x), then by remainder theorem, f(2) = 0and:a(2)^3 + a(2)^2 + a(2) -42 = 08a + 4a + 2a - 42 = 014a = 42a = 3

Answered by Maths tutor
4184 Views

Divide 711 in the ratio 4:5

Add 4+5 (which is 9)Tell them to divide 711 by 9 (=79)Multiple 79 by both values (79 x 4):(79 x 5)Answer is 316 : 395Explain that there is a way of finding out if they are correct. This is by adding 316 a...

AK
Answered by Aini K. Maths tutor
2748 Views

Solve this simultaneous equation: 2 + 5y = 3x, x + y = 6

step 1 - rearrange equation 2 to make x/y the subjecthow? example: subtract y from both sidesx = 6 - ystep 2 - substitute x = 6 - y into equation 1.how? where x is in the...

PW
Answered by Phoebe W. Maths tutor
2814 Views

Solve the equation 3(x+1) = 21

When solving an equation with brackets, it is often easiest to expand the brackets first.3(x+1) = 21becomes...3x + 3 = 21Now this looks like an equation we know how to solve(minus three from both sides)3x...

JM
Answered by James M. Maths tutor
4353 Views

Solve the equation 5m-2=16-4m

Our ultimate goal is to figure out what m equals.The most important thing to remember is that whatever you do to the left you also do to the right.Let us start by adding 4m to both sides: 5m+4m-2=16-4m+4 ...

LW
Answered by Lara W. Maths tutor
3103 Views

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