Question

obtain all the polynomial of 3x²-5x²-11x-3​

Answer 1

Answer:

Here is the solution

Step-by-step explanation:

Comparing the given polynomial with ax3 + bx2 + cx + d, we get

a = 3, b = 5, c = -11, d = - 3. Further p(3) = 3 x 33 - (5 x 32) - (11 x 3) - 3 = 81 -

45-33-3 = 0,

p(-1) = 3 × (-1)3-5 × (-1)2-11 × (-1)-3 = X -3-5+11-3 = 0,

p(-1/3)=3* (-1/3)3 - 5*(-1/3)2 - 11*(-1/3) - 3,

= -1/9-5/9+11/3-3 = 0

Therefore, 3, -1 and -1/3 are the zeroes of 3x3 - 5x2 -11x -3

So, we take a = 3, 3-1, y = -1/3,

Now,

a + B + y = 5/3 = -(-5)/3 = -b/a,

aß +By+ya= -11/3 = c/a,

aßy=1=-(-3)/3 = -d/a