## Exam-Style Question on Algebra## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 545. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.

(a) The expression \( (x+1)(2x-3)(3x+4) \) can be written in the form \(ax^3 + bx^2 + cx + d \) where \(a, b, c\) and \(d\) are integers. Find the values of \(a, b, c\) and \(d\).

(b) Solve the following inequality:

$$(x-2)^2 \lt \frac{16}{49}$$
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