Answer:
Here, p(z)=a(z)
3
+4(z)
2
+3z−4, q(z)=(z)
−4z+a, and the zero of z−3 is 3.
So, by the given condition
p(3)=q(3)
a(3)
+4(3)
+3(3)−4=(3)
−4(3)+a
27a+4×9+9−4=27−12+a
27a+36+9−4=27−12+a
27a+45−4=15+a
27a+41=15+a
27a−a=15−41
26a=−26
a=
26
−26
a=−1
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Answers & Comments
Answer:
Here, p(z)=a(z)
3
+4(z)
2
+3z−4, q(z)=(z)
3
−4z+a, and the zero of z−3 is 3.
So, by the given condition
p(3)=q(3)
a(3)
3
+4(3)
2
+3(3)−4=(3)
3
−4(3)+a
27a+4×9+9−4=27−12+a
27a+36+9−4=27−12+a
27a+45−4=15+a
27a+41=15+a
27a−a=15−41
26a=−26
a=
26
−26
a=−1