If 2 is a zero of both the polynomials 3x2 + ax- 14 and 2x + bx2 + x - 2, then find the value of 2a + 3b
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Answer:
Step-by-step explanation:
Given p(x) =3x^2 +ax -4
If 2 is a zero then p(2)=0
3(2)^2 +2a -4 =0
12 - 4+2a =0
2a = -8
a = -4
q(x) = 2x + bx^2 +x - 2
If 2 is a zero then q(2) =0
b(2)^2 +3(2) -2 = 0
4b -4 =0
4b = 4
b =1
2a + 3b = 2(-4) +3(1) = - 5
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