Find a polynomial of degree 3 with real coeffecients and zeros of -3,-1,and 4, for which f(-2)=30

The required polynomial is

SOLUTION:

Given,

Zeroes of a polynomial with degree 3 are – 3, - 1, and 4; f( -2 ) = 30

We have to find the polynomial equation.

Now, we know that, general polynomial equation with degree is

So, let

Now, we know that,

Now, -3 is a root, so

Now, - 1 is a root, so

Now, 4 is a root, so

So, let us solve the above equations to find value of a, b, c, and d

Now, subtract (3) form (1), (2) and (4)

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew