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प्रश्न
Find the greatest common factor (GCF/HCF) of the following polynomial:
14x3y5, 10x5y3, 2x2y2
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उत्तर
The numerical coefficients of the given monomials are 14, 10 and 2. The greatest common factor of 14, 10 and 2 is 2.
The common literals appearing in the three monomials are x and y.
The smallest power of x in the three monomials is 2.
The smallest power of y in the three monomials is 2.
The monomial of common literals with the smallest powers is x2y2.
Hence, the greatest common factor is 2x2y2.
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संबंधित प्रश्न
Work out the following division:
(10x − 25) ÷ 5
Work out the following division:
(10x − 25) ÷ (2x − 5)
Divide as directed.
26xy(x + 5) (y − 4) ÷ 13x(y − 4)
Divide as directed.
20(y + 4) (y2 + 5y + 3) ÷ 5(y + 4)
Factorise the expression and divide them as directed.
4yz(z2 + 6z − 16) ÷ 2y(z + 8)
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x3y2, 10x2y3, 14xy
Find the quotient and the remainder when :
a3 − 5a2 + 8a + 15 is divided by a + 1. verify your answer.
Find the quotient and the remainder when :
6x2 + x − 15 is divided by 3x + 5. verify your answer.
