By factorising the expression 3x² + 26x + 51, find two factors of 32 651

The two factors of 32651 are 103 and 317

Explanation:

The given expression is

We need to factor the expression and using the factor we need to determine the two factors of 32651

Let us first determine the factor of the expression

Let us break the expression into two groups.

Let us factor out 3x and 17x, we get,

Simplifying, we get,

Thus, the factors of the expression is

Now, we shall determine the factor of 32651

Subtracting both sides by 51, we get,

Rewriting the above expression, we get,

Thus, the value of x is 100

Substituting the value of x in the factor , we get,

Thus, the two factors of 32651 is 103 and 317