The factorisation of x² + 11xy + 24y² is:

Correct Answer is : (x + 8y) (x + 3y)

Correct Answer is : (x + 8y) (x + 3y)

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UPTET Paper 1 Model Test 5

Section: Mathematics

Question : 120 of 150

Marks: +1, -0

The factorisation of x^{2} + 11xy + 24y^{2} is:

Solution:

Concept:

Factorise a quadratic trinomial by splitting the middle term.

Explanation:

We need factors of

24y^{2}

that add to

11y

. The numbers

8y

and

3y

work because

8y \times 3y = 24y^{2}

and

8y + 3y = 11y

Rewrite the expression:

x^{2} + 8xy + 3xy + 24y^{2}

Group:

x(x + 8y) + 3y(x + 8y)

Factor common binomial:

(x + 8y)(x + 3y)

Answer:

Option C:

(x + 8y)(x + 3y)

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