Polynomials Questions

Consider the following polynomial functions. f(a) = (2a-7+a²) g(a) = (5-a) Which of the following are true?

• The expression that represents the sum of the polynomials is a first-degree polynomial.

• The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

• The sum of f(a) and g(a) can be represented by the expression a²+a-2

• The different of f(a) and g(a) can be represented by the expression a²+a-12

• The product of f(a) and g(a) can be represented by the expression

  -a³+3a²+17a-35

Which of the following statements about closure is NOT true?

• Polynomials are closed under addition.

• Polynomials are closed under subtraction.

• Polynomials are closed under multiplication.

• Polynomials are closed under division.

Find the zeros of this quadratic.

• b=4/5, b=3

• b=4, b=-3

• b=1/5, b=3

• b=4/5, b=-3

• 
• 
• 
• 

A polynomial with exactlty one term is called a ​ (a)   .

• monomial

• coefficient

• binomial

• trinomial

• degree of a polynomial

• distributive

• polynomial

• degree of a term

Multiply the binomial: (x - 2)⁴

• x⁴ - 8x³ + 24x² - 32x + 16

• -x⁴ + 8x³ - 24x² + 32x - 16

• x⁴ + 8x³ + 24x² + 32x + 16

• x⁴ - 4x³ + 6x² - 4x + 16

Find the coefficient of x³ in...

(1 + 3x)⁵

• 270

• 90

• 30

• 810

(x + y)³

• x³ + 3xy + 3xy + y³

• x³ + 3x²y + 3xy² + y³

• x³ + 3x²y² + 3xy + y³

• x³ + 3x³y + 3xy³ + y³

• 1

• 2

• 3

• 4