Question

Write 5 examples of the form (x + a) (x + b) and use the formula to multiply.

Answer 1

Expressions of the form (x + a) (x + b) are:
(1) (x + 1) (x + 2) = x² + (2 + 1)x + 2
= x² + 3x + 2

∴ (x + 1) (x + 2) = x² + 3x + 2

(2) (x + 3) (x + 6) = x² + (3 + 6)x + 18
= x² + 9x + 18

∴ (x + 3) (x + 6) = x² + 9x + 18

(3) (x + 11) (x + 8) = x² + (11 + 8)x + 88
= x² + 19x + 88

∴ (x + 11) (x + 8) = x² + 19x + 88

(4) (x + 4) (x + 24) = x² + (4 + 24)x + 96
= x² + 28x + 96

∴ (x +4) (x + 24) = x² + 28x + 96

(5) (x + 7) (x + 1) = x² + (7 + 1)x + 7
= x² + 8x + 7

∴ (x + 7) (x + 1) = x² + 8x + 7