Question

Factorised form of y² + 19y - 150 is: (a) (y-25)(y + 6) (c)(y-25)(y-6) (b) (y + 6)(y +25) (d) (y + 25)(y-6)
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Answer 1

Answer:

d. (y+25) (y-6)

Step-by-step explanation:

y²+19y-150

= y²+25y-6y-150

= y(y+25) -6(y+25)

= (y-6) (y+25)

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Answer 2

Answer:

(d)

Step-by-step explanation:

given

y² + 19y - 150

To factorise

Consider the factors of the constant term (- 150) which sum to give the coefficient of the y- term (+ 19)

The factors are - 6 and + 25 , since

- 6 × + 25 = - 150 and - 6 + 25 = + 19

use these factors to split the y- term

y² - 6y + 25y - 150 ( factor the first/second and third/fourth terms )

= y(y - 6) + 25(y - 6) ← factor out (y - 6) from each term

= (y - 6)(y + 25)

=  (y + 25)(y - 6) ← (d)