factorize :y²-5y-24
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Required Answer:-
Given to factorise:
Answer:
- The factorised form is (y + 3)(y - 8)
Solution:
Split the middle term,
Factorise by grouping,
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.
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