The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place. According to the fundamental theorem of algebra, which of the following statements is correct?

Q: Prove this theorem Let a,b,c be an element of real numbers where a is not equal to zero. The…

A: Use the provided information.

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

A:

Q: Identify the function that matches the graph except at x = 2. 5 4 3 2 1- -54-3 -2 -1 -1 -2 + --4 + 1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Give an example of a quadratic function that has only real zeros and an example of one that has only…

A: Quadratic functions have two zeroes. Since complex zeroes always appear in pairs, there will be…

Q: A great deal of the history of mathematics can be credited to ancient Egyptians. For example,…

A: Given, the relationship between theamount of revenue and the price of a ticket, by the quadratic…

Q: Which of the following statements are TRUE about the relationship between a polynomial function and…

A: A polynomial is a real-valued function. The highest power of the unknown variable is the degree of…

Q: Solve for real x : x (x - 1)(x+ 2)+1= 0

A: see 2nd step.

Q: A baseball is "popped" straight up by a batter. The height of the ball above the ground is given by…

A:

Q: where it says "there are no changes in sign of each term, thus, there are no positive real roots,…

A: Step 1: Step 2: Step 3: Step 4:

Q: (a) Suppose we factor the polynomial a+25 as much as possible. Explain why there will be no linear…

A: (a) The given polynomial is : x4+25. We will apply the formula: a2-b2=(a+b)(a-b). We can factorize…

Q: Find the zerO and its ovder for the function f (z) = 1 - xi+ z + e%

A: Suppose that f:D→ℂ is analytic on an open set D⊂ℂ. A point z0∈D is called zero of f if fz0=0. z0∈D…

Q: h(x)%3D³ – g12 5x + 7r

A: We are asked to find the zeros of polynomial.

Q: quadratic in standard form: f(x) = a(x - h)² + k Write the f(x) = 4x² + 8x +3

A: Given quadratic equation f( x ) = 4x2 + 8x + 3

Q: (d) Are there monic FSP polynomials (of some degree) that have real number coefficients, but some of…

A: Solution of part (d): Suppose there is a monic FSP polynomials of degree k that have real number…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.