Answer:
The HCF of the polynomials is (x-2)(x+3).
Step-by-step explanation:
First of all write the given expressions in factored form.
....(1)
Similarly,
..... (2)
From (1) and (2), it is clear that the common factors are (x-2) and (x+3). So the HCF of the polynomials is
Therefore the HCF of the polynomials is (x-2)(x+3).
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Answers & Comments
Answer:
The HCF of the polynomials is (x-2)(x+3).
Step-by-step explanation:
First of all write the given expressions in factored form.
....(1)
Similarly,
..... (2)
From (1) and (2), it is clear that the common factors are (x-2) and (x+3). So the HCF of the polynomials is
Therefore the HCF of the polynomials is (x-2)(x+3).
Verified answer
First off all find the factors of given polynomial(x^2-4x+4)(x+3)=(x-2)(x-2)(x+3)
(x^2+2x-3)(x-2)=(x^2+3x-x-3)(x-2)
=[x (x+3)-1 (x+3)][x-2]
=(x+3)(x-1)(x-2)
so HCF=(x-2)(x+3)