Practice the worksheet on H.C.F. of polynomials. The questions are based on finding the highest common factor of two or more polynomials.
We know, to find the highest common factor (H.C.F.) of two or more than two polynomials is the polynomial of highest measures (or dimensions) which divides each of the polynomials without remainder.
For example: The highest common factor of 4am^{3} and 2am^{3} + 4a^{2}m^{2}1. Find the highest common factor (H.C.F.) of the two polynomials:
(i) x^{2} + xy and x^{2} – y^{2}2. Find the highest common factor (H.C.F.) of the three polynomials:
(i) a^{3} – a^{2}m, a^{3} – am^{2} and a^{4} – am^{3}
Answers for the worksheet on H.C.F. of polynomials are given below to check the exact answers of the above questions.
Answers:
1. (i) x + y
(ii) p + q
(iii) m(m – n)
(iv) a + b
(v) 2p – 3q
(vi) p  5
(vii) k  1
(viii) z + 2
(ix) w  3
(x) b(a – 1)
2. (i) a(a – m)
(ii) k  x
(iii) a + 1
(iv) 2m + 1
(v) y^{2}(3y + 2)8th Grade Math Practice
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