Consider the two polynomials f and g:
f = 3x² + x +5; g= 4x² + x + 5
(a) Use ‘sym2poly’ command to obtain the row vectors containing the coefficients of the two symbolic polynomials f and g and use that for next parts.
(b) Find the product of f and g. Convert your answer to a symbolic expression.
(c) Find the quotient and remainder of f divided g. Convert your answers to symbolic expressions.
(d) Evaluate the function g when -5 ≤ x ≤ 5. Then plot the function using ‘plot’ command.

The correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0)

Step-by-step explanation:

From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)

Therefore, we have the slope, m given by the following relation

Where:

y₁ = 100

x₁ = 0

y₂ = 0

x₂ = 8

Which gives;

The equation in slope can be found as follows

y - 100 = -12.5×(x - 0)

y = -12.5·x  + 100 = -25/2·x  + 100

Multiplying by 2 gives;

2·y = -25·x + 200

25·x + 2·y =  200

Therefore, the correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0).