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Using factorization, solve x^2 + 10x + 24 = 0

To factorize the equation we need to find two numbers a and b such that a * b = 24 and a + b = 10 By closely looking at those, we find that 4 and 6 satisfy both conditions, as 6 + 4 = 10 and 6 * 4 = 24 The n...
SS
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There are 200 students in Year 10. 110 are boys. There are 250 students in Year 11. 140 are boys. Which year has the greater proportion of boys?

Let P1 and P2 be the proportion of boys in each year. In order to compare them we should pur the two proportions into simple forms . P1 = ( Number of boys ) / ( Total number of students ) P1 = 110 / 200 and,...
SS
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Expand and simplify the following equation 5a(4b - 3) - 2a(6 + b)

In order to simplify this equation, first we need to expand the two brackets . To expand 5a(4b - 3) we multiply 5a with each term inside the brackets. Therefore, we get 5a * 4b - 5a * 3 = 20ab - 15a Doing th...
SS
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A curve has equation y = 2x^5 + 5x^4 1 . (a) Find: (i) dy/ dx [2 marks] (ii) d^2y/ dx^2 (b) The point on the curve where x ¼ 1 is P. (i) Determine whether y is increasing or decreasing at P, giving a reason for your answer.

a.) dy/dx+10x^4+20x^3 d^2y/dx^2=40x^3+60x^2 b.)sub in x=-1 to dy/dx=10(-1)^4+20(-1)^3 =-10 therefore, decreasing
AF
Answered by Alexandra F. • Maths tutor
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How do I expand (3x + 6)(x + 2) ?

Firstly, this is a classic GCSE question that crops up time and again, so it's worth making sure that you can expand brackets blindfolded and with your arms tied behind your back before you walk into the exa...
JB
Answered by Joshua B. • Maths tutor
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