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Express the following in partial fractions: (1+2x^2)/(3x-2)(x-1)^2

(1+2x^2)/(3x-2)(x-1)^2 = -5/x-1 + 3/(x-1)^2 + 17/3x-2

MS
Answered by Manny S. Maths tutor
3874 Views

let p be a polynomial p(x) = x^3+b*x^2+ c*x+24, where b and c are integers. Find a relation between b and c knowing that (x+2) divides p(x).

We know that (x+2) divides p(x), therefore p(x) can be written as p(x) = (x+2)q(x) + 0, where q is another polynomial of degree 2. We can calculate then p(-2): p(-2)= ((-2)+2)q(-2) = 0;p(-2)= (-2)...

TS
Answered by Tina-Alina S. Maths tutor
3665 Views

How would I solve a linear simultaneous equation?

When presented with a simultaneous equation, you need to find out the values of the letters (commonly x and y). You might be given two equations such as: a) 2x + 4y = 6, and b) -4x - 3y = 3. The first thi...

RO
Answered by Ryan O. Maths tutor
2907 Views

Find the radius and centre of the circle given x^2+4x+y^2+2y=20

Complete the square:x2+4x gives (x+2)2-4y2+2y gives (y+1)2 -1Therefore,(x+2)2-4+(y+1)2 -1=20Rearranging gives:(x+2)2+(y+1)...

SC
Answered by Stanley C. Maths tutor
3851 Views

Solve the inequality x^2 – x < 6

The question is asking for the range of x values that satisfies the inequality. First rearrange the equation to form a quadratic: x2 – x – 6 < 0. Factorise the quadratic to find x-intercepts...

LL
Answered by Lea L. Maths tutor
7640 Views

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