Question

Find the H.C.F of the following polynomials.
a) 10(x2 - 1) and 15(x + 1)⁴(2x + 3)​

Answer 1

Answer:

answer for the given problem is given

Answer 2

Answer:

$5(x+1)$

Step-by-step explanation:

Given: Two polynomials $10(x^{2} -1)$ and $15(x+1)^{4}(2x +3)$

To find: HCF of the above given polynomials.

Concepts and steps:

The highest common factor, or HCF, is the biggest number that divides each of two or more numbers. HCF is also known as the Greatest Common Measure (GCM) and the Greatest Common Divisor (GCD).

Polynomial HCF can be determined using the shortcut approach, the long division method, or the prime factorization method. HCF may also be calculated using the formula: HCF*LCM=product of two numbers.

$10(x^{2} -1) = 2*5*(x+1)(x-1)$

$15(x+1)^{4}(2x+3)$$= 3*5*(x+1)^{4}*(2x+3)$

The common factors of the above two polynomials are $5 and (x+1)$.

So, HCF is $5(x+1)$

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