If Px-1-5x-1-5x - Qx-1-5x-1-5x- then Px-Qx will be

Given, P(x) =1+5x/1 5x and Q(x) =1 5x/1+5x nbsp; ∴ P(x)/Q(x) = 1+5x/1 5x/1 5x/1+5x = (1+5x)(1+5x)/(1 5x)(1 5x) = (1+5x)^2/(1 5x)^2 ...

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Quadratic Polynomial

If Px=1+5x/1-...

Question

If $P (x) = \frac{1 + 5 x}{1 - 5 x} & Q (x) = \frac{1 - 5 x}{1 + 5 x},$ then $\frac{P (x)}{Q (x)}$ will be

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\frac{1 - 25 x^{2}}{1 + 25 x^{2}}

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\frac{(1 + 5 x)^{2}}{(1 - 5 x)^{2}}

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\frac{1 + 25 x^{2}}{1 - 25 x^{2}}

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P (x) = \frac{1 + 5 x}{1 - 5 x} & Q (x) = \frac{1 - 5 x}{1 + 5 x},

\frac{P (x)}{Q (x)}

Now for each pair of polynomials p(x) and q(x) given below, find p(x) + q(x) and p(x) − q(x). Also compute p(1) + q(1) and p(1) − q(1) for each.

(i)

(ii)

(iii)

(iv)

(v)

p (x)

q (x)

p (x) = x^{4} + x^{3} + x^{2} - 5 x + 1, q (x) = x + 1

p (x) = x^{2} - 2 x + 1

q (x) = x^{4} - 1

r (x) = x^{3} - 2 x^{2} - 5 x + 6

P (x) + q (x) = x^{2} - 4 x + 1 a n d P (x) - q (x) = x^{2} + 5 x - 2

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