Question

factorize :y²-5y-24​

Answer 1

Required Answer:-

Given to factorise:

• $\sf {y}^{2} - 5y - 24$

Answer:

• The factorised form is (y + 3)(y - 8)

Solution:

$\sf {y}^{2} - 5y - 24$

Split the middle term,

$\sf = {y}^{2} - 8y + 3y - 24$

Factorise by grouping,

$\sf = y(y - 8)+ 3(y - 8)$

$\sf = (y + 3)(y - 8)$

Hence, the factorised form is (y + 3)(y - 8)

How to factorise?

• The standard form of a Quadratic Polynomial is ax² + bx + c where a, b and c are real number. We have to split b(coefficient of x) into two real numbers x and y such that, x + y = b and xy = ac.
• After splitting, we have to factorise by grouping method.
• In this example, a = 1, b = -5 and c = -24. b is splitted into two terms i.e., -8 and 3. We can see that -8 + 3 = -5(equal to b) and -8 × 3 = -24(equal to ac). Now, we will solve it by grouping method.

Answer 2

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