Search our library of homework questions

Top answers

All subjects

All levels

Use the factor theorem to show that (x-1) is a factor of x^3 - 3x^2 -13x + 15

If (x-1) is a factor of x³ - 3x² -13x + 15 then one of the solutions for x must be x = 1.(This is because, if (x-1) is a factor of this equation then it is true that x-1=0, because t...

Answered by James B. • Further Mathematics tutor

4136 Views

Write (9^8)/((9^5)^2) in its simplest form

First expand the denominator 9⁸/(9⁵)² = 9⁸/9¹⁰. Then simplify using power laws to give 9⁸/9¹⁰=9^-2. This can be writt...

Answered by Jacques D. • Maths tutor

2812 Views

Simplify fully (2a + (b)^0.5)^2

(2a + b^0.5) ²First Expand the brackets:(2a + b^0.5) x (2a + b^0.5) 4a² + 2ab^0.5 + 2ab^0.5 + b Simplify the expression by collecti...

Answered by James B. • Maths tutor

3280 Views

Paul buys 12 apples and 10 oranges. 12 apples cost £6. The ratio of the cost of one apple: one orange is 2:3. What is the total cost of the apples and oranges?

Using the ratio one apple: one orange is 2:3 it can be found that one orange = (3/2) * one apple. As 12 apples cost £6, one apple cost £6/12 = 50p. Therefore, one orange = (3/2) * 50p = 75p and 10 oranges...

Answered by Jacques D. • Maths tutor

4036 Views