Question

y^2 - 5y - 24 factorize the following polynomials (step by step)

Answer 1

Answer :

Put (y2 + 5y) = a

⟹ a (a -2) – 24


⟹ a2 -2a – 24


⟹ a2 -6a + 4a – 24


⟹ a (a – 6) + 4 (a – 6)


⟹ (a + 4) (a – 6)


⟹ But a = (y2 + 5y)


⟹ ((y2 + 5y) + 4) ((y2 + 5y) – 6)


⟹ (y2 + 5y + 4) (y2 + 5y – 6)


⟹ (y2 + 4y + y + 4) (y2 + 6y - y – 6)


⟹ (y (y + 4) + 1 (y + 4)) (y (y + 6) – 1 (y + 6))


⟹ (y + 4) (y + 1) (y + 6) (y – 1)


Therefore, the factorized form = (y + 4) (y + 1) (y + 6) (y – 1)

Answer 2

Answer:

y^2-5y-24

y^2-8y+3y-24

y(y-8)+3(y-8)

(y-8)(y+3)