Find the H-C-F- of the expressions x2-6 x-5 and x2-8 x-15 by factorization-

The correct option is B x 5 To find the H.C.F. of the expressions x2 – 6x + 5 and x2 – 8x + 15 by factorization we get, x2 – 6x + 5 = x2 – 5x x + 5 = (x ...

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Standard VIII

Mathematics

Factorisation by Common Factors

Find the H.C....

Question

Find the H.C.F. of the expressions x² – 6x + 5 and x² – 8x + 15 by factorization.

x - 1

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x - 5

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x - 3

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x - 4

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Solution

The correct option is B
x - 5

To find the H.C.F. of the expressions x² – 6x + 5 and x² – 8x + 15 by factorization we get,

x² – 6x + 5 = x² – 5x - x + 5 = (x - 5)(x - 1)

And, x² – 8x + 15 = x² – 5x - 3x + 15 = (x - 5)(x - 3)

The common term in both factorization is x - 5, so the HCF is x-5.

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Find the H.C.F. of the expressions x2 – 6x + 5 and x2 – 8x + 15 by factorization.

Find the H.C.F. of the expressions x² – 6x + 5 and x² – 8x + 15 by factorization.