Solving Polynomial Equations and Quadratic Form

Isla is working on a math problem where she needs to identify the type of polynomial. The polynomial 3x² is a _____ with a degree of __.

Oliver is trying to determine the degree classification of this polynomial for his math homework.
x²+4x-8

• binomial

• trinomial

• quadratic

• cubic

Answer explanation

The degree classification of the polynomial x²+4x-8 is quadratic because it is a second-degree polynomial with the highest power of x being 2.

Mason is trying to identify the type of polynomial in his math homework. 5x² + 7x - 2

• Monomial

• Binomial

• Trinomial

• Polynomial with more than 3 terms

Answer explanation

The given polynomial 5x^2 + 7x - 2 has three terms, making it a trinomial.

Oliver and Ava are solving math problems. Which expressions are NOT polynomials? Choose all that apply.

• 6x² - 14

• 6x^¹/₃ + 3x

• ²/₃x - 7

• 3x^-3 + 4x² - 2x

Answer explanation

The expressions 6x^⅓ + 3x and 3x^-3 + 4x^2 - 2x are not polynomials because they contain fractional or negative exponents, which are not allowed in polynomial expressions.

Which one refers to a polynomial equation in the form ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0?

• Quadratic Equation

• Quadratic Polynomial

• Quadratic Inequalities

• Linear Equation

The solutions of the quadratic equation
x²-5x+6=0 are

• x=1 or x=-6

• x=3 or x=2

• x=-3 or x= 2

• x=-1 or x=6

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

• 11

• 44

• 121

• 144

b²-4ac is called

• discrimination

• determinant

• discriminant

• none of these

Solve by the Extraction of Roots method: (x - 2) ² = 49

• 9 or -5

• ± 9

• ± 5

• ± 7

Which of the following is the interval notation of x² - x - 12 < 0?

• [ 4, 3]

• (-4, -3]

• (-3, 4)

• [-3, 4]