Maths-

General

Easy

Question

# The HCF of the polynomials is:

Hint:

### HCF stands for Highest Common Factors. The expansion of the identity:

.

We are asked to find the HCF of the given polynomials.

## The correct answer is: the HCF is(x + 4)(x - 1).

### Step 1 of 2:

Simplify both the expressions,

= x (x - 1) - 1(x - 1)(x + 4)

= (x - 1)(x - 1)(x + 4)

Similarly,

= x (x + 4) - 1(x + 4)(x + 1)

= (x - 1)(x + 4)(x + 1)

Step 2 of 2:

Analyze the factors of the expressions;

Now, find the highest common factors in these expressions .Thus, we have:

(x + 4)(x - 1)

Hence, the HCF is(x + 4)(x - 1).

HCF of any of two numbers is their highest value that divides them both simultaneously.

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