Question

QNO. 5. Find the value of a when g(t) is a factor of p(t).

g(t) = t -3; p(t) = ť? + 2at – 2a + 3
plss ans I will mark u as a brilliant​

Answer 1

Please I request you to Mark it BRAINLIEST

Answer:

The value of a is -3/2

$\frac{ - 3}{2}$

Step-by-step explanation:

Given:-

$p(t) = t + 2at - 2a \: + 3$

$g(t) = t - 3$

$= > t - 3 = 0 \\ = > t = 3$

Substitute the value of t in p(t)

$p(3) = t + 2at - 2a + 3 \\ = > 3 + 2a(3) - 2a + 3 \\ = > 3 + 6a - 2a + 3 \\ = > 3 + 4a + 3 \\ = > 6 + 4a \: = 0 \\ = > a = \frac{ - 6}{4} \\ = > a = \frac{ - 3}{2} \: answer$

Hence the answer is :-

$\frac{ - 3}{2}$