Question

38. If 2x + 3 is a factor of the cubic polynomial p(x) = 2x3+9x2-ax-b and a + b = 16. then
find values of a and b.​

Answer 1

Answer:

ANSWER:

(i)

Yes, this expression is a polynomial in one variable x.

(ii)

Yes, this expression is a polynomial in one variable y.

(iii)

No. It can be observed that the exponent of variable t in term is , which is not a whole number. Therefore, this expression is not a polynomial.

(iv)

No. It can be observed that the exponent of variable y in termis −1, which is not a whole number. Therefore, this expression is not a polynomial.

(v)

No. It can be observed that this expression is a polynomial in 3 variables x, y, and t. Therefore, it is not a polynomial in one variable.

Answer 2

Step-by-step explanation:

equation found:

3a+27-2b=0

&

x² + 3x - (a+9)/2 = 0

putting x= -3/2

solving above 2 equation we get:

a= -27/2

b= -27/4