2. CBQ - Arithmetic operations on polynomial

In a school gardening competition, two student teams are designing separate rectangular flower beds to be placed side by side in the schoolyard. Team A models their flower bed’s area  with the polynomial: \(P(x)\) \(=\) \(x^{2}+3x-10\) and Team B models their flower bed’s area with \(Q(x)\) \(=\) \(x-2\).

1. The sum of \(P(x)\) and \(Q(x)\) is:

• \(x^{2}+4x\)
• \(x^{2}+4x-12\)
• \(x^{2}+2x\)
• \(x^{2}+3x+2\)

2. The product \(P(x)\)\(.\)\(Q(x)\) is:

• \(x^{3}-x^{2}-2x-18\)
• \(x^{3}+x^{2}-16x+20\)
• \(x^{3}+x^{2}+x-11\)
• \(x^{3}+x^{2}+x+24\)

3. The remainder when \(Q(x)\) is subtracted from \(P(x)\) is:

• \(x^{2}+2x-8\)
• \(x^{2}+1\)
• \(x^{2}+5x-1\)
• \(x^{2}-1\)