Simplify: $p (x) = x^{2} - 3 x^{2} + 5 x - 3$

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Solution

$x^{2} - 3 x^{2} + 5 x - 3$ Identify any like terms.
$x^{2} - 3 x^{2} + 5 x - 3$
Combine like terms using the distributive property.
$(1 - 3) x^{2} + 5 x - 3$
$- 2 x^{2} + 5 x - 3$
On factorising, We get,
$(x - \frac{3}{2}) (x - 1)$

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Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

(i)

(ii)

(iii)

p (x) = x^{3} - 3 x^{2} + 5 x - 3 b y g (x) = x^{2} - 2

p (x)

q (x)

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

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