Add $t - t^{2} - 14;$ $15 t^{3} + 13 + 9 t - 8 t^{2}$ ; $12 t^{2} - 19 - 24 t$ and $4 t - 9 t^{2} + 19 t^{3}$ . [4 MARKS]

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Solution

Forming equation : 1 Mark
Steps : 2 Marks
Result : 1 Mark
Sum $= (t - t^{2} - 14) + (15 t^{3} + 13 + 9 t - 8 t^{2}) + (12 t^{2} - 19 - 24 t) + (4 t - 9 t^{2} + 19 t^{3})$
Sum $= t - t^{2} - 14 + 15 t^{3} + 13 + 9 t - 8 t^{2} + 12 t^{2} - 19 - 24 t + 4 t - 9 t^{2} + 19 t^{3}$
Sum $= t + 9 t - 24 t + 4 t - t^{2} - 8 t^{2} + 12 t^{2} - 9 t^{2} - 14 + 13 - 19 + 15 t^{3} + 19 t^{3}$
Sum $= - 10 t - 6 t^{2} - 20 + 34 t^{3}$

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Add t−t2−14; 15t3+13+9t−8t2;12t2−19−24t and 4t−9t2+19t3. [4 MARKS]

Forming equation : 1 Mark Steps : 2 Marks Result : 1 Mark Sum =(t−t2−14)+(15t3+13+9t−8t2)+(12t2−19−24t)+(4t−9t2+19t3) Sum =t−t2−14+15t3+13+9t−8t2+12t2−19−24t+4t−9t2+19t3 Sum =t+9t−24t+4t−t2−8t2+12t2−9t2−14+13−19+15t3+19t3 Sum =−10t−6t2−20+34t3

Add $t - t^{2} - 14;$ $15 t^{3} + 13 + 9 t - 8 t^{2}$ ; $12 t^{2} - 19 - 24 t$ and $4 t - 9 t^{2} + 19 t^{3}$ . [4 MARKS]