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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 wr...

BC
Answered by Becky C. Maths tutor
3615 Views

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 w...

MA
Answered by Mustafa A. Maths tutor
10216 Views

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...

ER
Answered by Erin R. French tutor
2227 Views

"Das Fernsehen zerstört das Familienleben." Erklären sie Ihre Meinung zu dieser Aussage

Während das Familienleben immer mehr von der Technologie wie z.b. Fernsehen, Tablets beeinflusst wird, wirkt es sich ziemlich positiv auf unser Alltagsleben. Es lässt sich erkennen, dass wir mit Netflix ...

JD
Answered by Jasper D. German tutor
2257 Views

Could you explain the difference between passive diffusion and facilitated transport?

Passive diffusion occurs without any transmembrane proteins being involved, the molecules cross the lipid bilayer following a concentration gradient (from the highest concentration to the lowest). Small u...

EW
Answered by Eleonore W. Biology tutor
2912 Views

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