3. Divide after factorising the first polynomial.
a. x + 4x - 12 by x - 2
b. 2x - 11x - 63 by X-9
C. 3x2 + 4x – 7 by 3x + 7
d. 4x2 - 121y by 2x + 1ly
e. 6x + x - 2 by 2x - 1
f. x + 14x – 32 by x - 2
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Answer:
1. 2x2 and 12x2
Solution:
We know that the numerical coefficients of given numerical are 2 and 12
The greatest common factor of 2 and 12 is 2
The common literals appearing in given monomial is x
The smallest power of x in two monomials is 2
The monomial of common literals with smallest power is x2
∴ The greatest common factor = 2x2
2. 6x3y and 18x2y3
Solution:
We know that the numerical coefficients of given numerical are 6 and18
The greatest common factor of 6 and 18 is 6
Common literals appearing in given numerical are x and y
Smallest power of x in three monomial is 2
Smallest power of y in three monomial is 1
Monomial of common literals with smallest power is x2y
∴ The greatest common factor = 6x2y
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