Question 19 of 43intermediate🔧 ApplyFill in the Blanks4 marks
Fill in the blanks to complete the following identities:
(i)
- 11s + 24 = ()()
Answer
s - 3, s - 8
(ii)
(____)(x + 1) = ( - 4x - 7)
Answer
3x - 7
(iii)
- 11x - 6 = (2x - )( + 2)
Answer
3, 5x
(iv)
+ 7x + 2 = ()()
Answer
2x + 1, 3x + 2
Explanation
Using the identities and provided in the chapter, we can find the missing factors by comparing coefficients. For (i), we need two numbers that add to -11 and multiply to 24, which are -3 and -8. For (ii), expanding and comparing to gives . For (iii), expanding and comparing to gives . For (iv), finding factors of 6 and 2 that give a cross-sum of 7 yields and .