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Let p(x) =30x^3 - 7x^2 -7x + 2. Prove that (2x+1) is a factor of p(x).

We use the factor theorem which states that (2x+1) is a factor of p(x) if and only if the root of (2x+1)=0 is also a root of p(x). The root of 2x+1=0 is x = -1/2 (-1 from both sides and then divide both s...

HK
Answered by Henry K. Maths tutor
7663 Views

Factorise h^2 - 36.

Notice that 36 is a square number equivalent to 62 . Can also tell this as the expression contains no coefficients of h so they must cancel each other out. Using this information we can deduce ...

EC
Answered by Ella C. Maths tutor
2698 Views

The complex number -2sqrt(2) + 2sqrt(6)I can be expressed in the form r*exp(iTheta), where r>0 and -pi < theta <= pi. By using the form r*exp(iTheta) solve the equation z^5 = -2sqrt(2) + 2sqrt(6)i.

Using an argand diagram we can see that this (in fact all) complex numbers create a right angled triangle and using this fact we can find the modulus of this number. The modulus of this number is the 'r' ...

TG
2597 Views

Outline how Lorenz and Harlow studied attachment using animals. (6 marks)

I would suggest an exemplar answer to this question to be:Lorenz studied imprinting in goslings by dividing the eggs from a mother, hatching, and rearing them in different environments. Half were left wit...

HS
Answered by Hannah S. Psychology tutor
22358 Views

Why is the first ionisation energy of barium larger than the first ionsiation energy of caesium?

Barium has one more proton than caesium. The outer electrons of both elements are in the same shell so they feel the same shielding effect. However, as barium has one more proton, barium's outer electrons...

JL
Answered by Jeremy L. Chemistry tutor
5277 Views

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