Find the missing term: y2 + (...)x + 56 = (y + 7)(y + ...)

Find the missing term: y² + (...)x + 56 = (y + 7)(y + ...)

Sum

We have (x + a)(x + b) = x² + (a + b)x + ab

56 = 7 × 8

∴ y² + (7 + 8)x + 56 = (y + 7)(y + 8)

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Chapter 3: Algebra - Exercise 3.5 [Page 97]

Chapter 3 Algebra
Exercise 3.5 | Q 8 | Page 97

Factorize each of the following expression:
125x² − 45y²

Factorize each of the following expression:
25x⁴y⁴ − 1

Factorize each of the following expression:
x³ − 144x

Factorize each of the following expression:
256x⁵ − 81x

Factorize each of the following expression:
a⁴b⁴− 16c⁴

Factorize each of the following expression:
16(2x − 1)² − 25y²

Factorize each of the following expression:
a² − b² + a − b

Factorize each of the following expression:
2a⁵ − 32a

Factorize each of the following quadratic polynomials by using the method of completing the square:
q2 − 10q + 21

Factorise: (7y² – 19y – 6)