Question

If x3 + 3x2 – ax + 3 is exactly divisible by x – 2, then the value of a is​

Answer 1

ANSWER:

• The value of a = 23/2

GIVEN:

$p(x) = x {}^{3} + 3x {}^{2} - ax + 3 \\ g(x) = x - 2$

TO FIND:

• The value of a

SOLUTION:

Let, (x-2)=0

x = 2

putting x = 2 in P(x) we get;

$p(2) = (2) {}^{3} + 3(2) {}^{2} - a(2) + 3 \\ \implies \: 0 = 8 + 12 - 2a + 3 \\ \implies \: 23 - 2a = 0 \\ \implies \: 2a = 23 \\ \implies \: a = \frac{23}{2}$

So the value of a = 23/2

ADDITIONAL INFORMATION

Formulas

$(a + b) {}^{2} = a {}^{2} + b {}^{2} + 2ab \\ (a - b) {}^{2} = a {}^{2} + b {}^{2} - 2ab$

Answer 2

Answer:

23/2

Step-by-step explanation:

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