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Maths
GCSE

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
3344 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
75140 Views

Please sketch and factorize the quadratic 3x^2+10x+3.

The coefficient - which is a posh word for 'the bit in front' - of x^2 is in this case not 1. Thus, the quadratic formula must necessarily be used. All quadratics come in the form of ax^2+bx+c. Here, a, b...

JH
Answered by Jack H. Maths tutor
2782 Views

Make F the subject of the formula: C= 5(F-32) / 9

  1. The first step to making F the subject of this formula is multiplying both sides by 9 to get rid of the denominator on the right hand side. Therefore, 9C= 5(F-32) 2. Secondly, we have to divide both...
SH
Answered by Sofia H. Maths tutor
21759 Views

Expand and simplify the following: (2x+3)(2x+5)

Expanding this expression means multiplying the contents of the first bracket by the contents of the second. An easy way to remember this is using the FOIL method. FOIL stands for First, Outside, Inside, ...

RM
Answered by Richard M. Maths tutor
4922 Views

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