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Take the polynomial p(x)=x^4+x^3+2x^2+4x-8, use the factor theorem to write p(x) as two linear factors and an irreducible quadratic. An irreducible quadratic is a quadratic that can not be factorised.

We must use the factor theorem since that is what the question asks. So we take p(x) and think about the factors of 8 we then evaluate it at x=1 to start, then move onto x=-1,2,-2 and so on. We see that i...

JC
Answered by Jordan C. Maths tutor
3535 Views

How would the integral ∫x^2sin2xdx be solved using integration by parts?

The general formula for integration by parts is given as
∫u(dv/dx)dx = uv - ∫v(du/dx)dx
given that the equation to be solved is ∫x2sin2xdx, the values for u, v, du/dx and dv/dx can ...

SN
Answered by Samuel N. Maths tutor
9964 Views

Describe the action of enzymes including how they are denatured, using the lock and key model

 The key is the enzyme and substrate is the lock. Like a key only unlocks one lock, the active site on the enzyme only fits in 1 type of substrate. Extreme temperature or pH (how acidic something is) dena...

ET
Answered by Emily T. Biology tutor
6810 Views

Solve x^2+5x+6=0 by factorising

First of all, when we expand brackets we know that the x will be at the start of the brackets 

(x    )(x    )= 0

Look a the equation again, x2+5x+6=0. All of our numbers are posit...

ET
Answered by Emily T. Maths tutor
49417 Views

Discuss Alvin's liability for criminal offences in relation to Bela and to Claire.

With regards to Bela, Alvin could potentially be liable for assault occasioning actual bodily harm, contrary to S47 Offences Against the Person Act 1861.

Alvin committed the actus reus of this offe...

GB
Answered by George B. Law tutor
3818 Views

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