PLS NEED HELP ASAP IM IN A TEST
2x^3 + px^2 + qx - 6, given f(-2) and f(1/2)=-5s
a. find the values of p and q. (7 marks)
b factorise f(x) completely. (5 marks)
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Step-by-step explanation:
no. 1 as follows,
if x +2 leaves 6 then :
2(-2)^3 + a(-2)^2 + (-2) - 12 = 6
4a = 36
a = 9
2x^3 + 9x^2 + x - 12 = 0 (used bit of guess work here, put x = 1, came to 0, therefore x - 1 is factor)
divide 2x^3 + 9x^2 + x - 12 by (x - 1)
leaves you with 2x^2 + 11x + 12
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