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Find the turning point of the line y = -2x^2 +5x -9

The first step in finding any turning point is to differentiate. To do this, we muiltiply x by its power and drop the power by 1. so in this senario we multiply the -2x by 2 giving us -4x and the power becom...
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Answered by Felix B. • Maths tutor
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What is the difference between "ser" and "estar"

This is a very common question, so don't worry about it at all. So both verbs mean "to be", however we use them under different circumstances. As a general rule, "ser" is used for concret...
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Answered by Sam D. • Spanish tutor
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Where does the quadratic formula come from?

First take the general form of a quadratic equation, ax^2+bx+c=0, this can be written in completed square form, (x+b/2a)^2-(b/2a)^2+c/a=0, rearranging gives, x=-b/2a +/-(b^2/4a^2-c/a)^1/2, which can be writt...
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Answered by Becky C. • Maths tutor
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The polynomial p(x) is given by p(x) = x^3 – 5x^2 – 8x + 48 (a) (i) Use the Factor Theorem to show that x + 3 is a factor of p(x). [2 marks] (ii) Express p(x) as a product of three linear factors. [3 marks]

(a) (i) Use the Factor Theorem to show that x + 3 is a factor of p(x). The Factor Theorem is derived from the remainder theorem. We know from the remainder theorem that by doing p(x)/(x – a) then we get a re...
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Answered by Mustafa A. • Maths tutor
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When do I use an indirect object pronoun?

An indirect object pronoun replaces a noun that someone or something acts upon indirectly. The noun it replaces indirectly follows the verb, i.e. there is a preposition after the verb. For example: I read to...
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Answered by Erin R. • French tutor
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