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Maths
GCSE

Express 160 as a product of its prime factors

Divide 160 by 2 as many times as you can to get 80x2, 40x2x2, 20x2x2x2, 10x2x2x2x2, 5x2x2x2x2x2. Then re-write your answer so that it is 5x2^5. If you're struggling to divide by 2 and keep track of how ma...

RK
Answered by Rachel K. Maths tutor
36666 Views

Use factorisation to solve the equation x^2+5x+6=0

As we are considering a quadratic equation, we are looking for two values of x that make the equation equal to 0. To factorise, first look to the constant term (the term without any x) to find 2 numbers t...

NC
Answered by Niamh C. Maths tutor
3056 Views

Solve 7x-4=8+5x

First bring all the x terms to one side by taking 5x from each side, this gives 2x-4=8. Now put all the number terms on the other side by adding 4 to each side, this gives 2x=12. We can now divide both si...

AM
Answered by Angus M. Maths tutor
3433 Views

Factorize the following expression and solve for x: X^2 +7X +10=0

Answer:  (X+5)(X+2)=0   X=-5 or -2 We first look for to numbers that multiply together to make 10 (1 and 10, 2 and 5 are the only pairs)  We choose the pair which also adds together to the 2nd term, 7. We...

JH
Answered by James H. Maths tutor
3408 Views

Express 60 as a product of its prime factors.

We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next...

AH
Answered by Aidan H. Maths tutor
75797 Views

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