- A and
- B and
- C and
- D and
Step-by-Step Solution
Volume = length × breadth × height, so factorise fully. Take out the common factor first: , then use to get .
Answer: C) and
A wooden box has volume cubic units. Which set of three expressions could be its length, breadth and height?
Class 9PolynomialsPolynomials
Key idea: Factorising polynomials using the factor theorem
To factorise a cubic like :
**Step 1**: Try small integer values: . ✓ So is a factor.
**Step 2**: Divide by using long division. Quotient: .
**Step 3**: Factor the quadratic: .
**Step 4**: Combine: .
The zeros are 1, 2, 3 — three real zeros, as expected for a cubic.
**Step 1**: Try small integer values: . ✓ So is a factor.
**Step 2**: Divide by using long division. Quotient: .
**Step 3**: Factor the quadratic: .
**Step 4**: Combine: .
The zeros are 1, 2, 3 — three real zeros, as expected for a cubic.
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