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Division of a Polynomial by a Polynomial

Question 5iii...

Question

Question 5(iii)
Factorise the expressions and divide them as directed
$(5 p^{2} - 25 p + 20) \div (p - 1)$

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Solution

$5 p^{2} - 25 p + 20 = 5 (p^{2} - 5 p + 4) = 5 [p^{2} - p - 4 p + 4] = 5 [p (p - 1) - 4 (p - 1)] = 5 (p - 1) (p - 4) (5 p^{2} - 25 p + 20) \div (p - 1) = \frac{5 (p - 1) (p - 4)}{(p - 1)} = 5 (p - 4)$

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Similar questions

Q. Factorise the expression and divide them as directed.

(5 p^{2} - 25 p + 20) \div (p - 1)

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Q. Question 5(iii)
Factorise the expressions and divide them as directed

(5 p^{2} - 25 p + 20) \div (p - 1)

Q. Question 5(v)
Factorise the expressions and divide them as directed

5 p q (p^{2} - q^{2}) \div 2 p (p + q)

(5 p^{2} - 25 p + 20) \div (p - 1)

Q. Question 5(iv)
Factorise the expressions and divide them as directed

4 y z (z^{2} + 6 z - 16) \div 2 y (z + 8)

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Division of a Polynomial by a Polynomial

Standard VIII Mathematics

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