Master Polynomial Functions: A Comprehensive Guide for 1st Graders

Question 1

Imagine the polynomial function f(x) = (x - 2)(x + 3). Draw a simple sketch of its graph.

Accepted Answer

A curve that goes up like a smile with points touching the x-axis at x = 2 and x = -3

Answer

A curve that goes down like a frown with points touching the x-axis at x = 2 and x = -3

Answer

A straight line that crosses the x-axis at x = 2 and x = -3

Answer

A circle with a middle at (0, 0) and a width of 2

Question 2

What number makes the equation 2x + 6 equal to zero?

Accepted Answer

-2

Answer

-3

Answer

-1

Answer

0

Question 3

Which number makes the equation x² - 3x = 0 true?

Accepted Answer

3

Answer

0

Answer

1

Answer

2

Question 4

What is the zero of the polynomial f(x) = 2x - 4?

Accepted Answer

2

Answer

4

Answer

-2

Answer

-4

Question 5

What is the zero of the function f(x) = x - 2?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 6

What is the degree of the polynomial function f(x) = 2x^3 + 5x^2 - 3?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 7

Which of the following is a polynomial function?

Accepted Answer

y = x^3 + 2x

Answer

y = 1/x

Answer

y = √x

Answer

y = sin(x)

Question 8

What is the constant term in the polynomial function g(x) = x^2 - 5x + 7?

Accepted Answer

7

Answer

-5

Answer

5

Answer

1

Question 9

Which of the following is a factor of the polynomial function h(x) = x^4 - 16?

Accepted Answer

x^2 - 4

Answer

x - 2

Answer

x + 4

Answer

x^2 + 4

Question 10

How can the expression x² - 5x + 6 be factored?

Accepted Answer

(x - 2)(x - 3)

Answer

(x + 2)(x - 3)

Answer

(x - 2)(x + 3)

Answer

(x + 2)(x + 3)

Question 11

Which term in the expression x³ - 2x² + 5 is a constant?

Accepted Answer

5

Answer

x³

Answer

-2x²

Answer

0

Question 12

What is the degree of the polynomial function f(x) = 2x^3 - 5x^2 + 3?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 13

What is the value of f(x) = 3x^2 - 2x + 1 when x = 2?

Accepted Answer

17

Answer

1

Answer

3

Answer

9

Question 14

What is the y-intercept of the graph of the function f(x) = 2x - 5?

Accepted Answer

-5

Answer

0

Answer

2

Answer

5

Question 15

Which of the following represents the expression 5x^2 + 3x - 2 in factored form?

Accepted Answer

(5x - 2)(x + 1)

Answer

(5x + 2)(x - 1)

Answer

(x + 2)(5x - 1)

Answer

(x - 2)(5x + 1)

Question 16

Which of these equations has a graph with a zero at x = 3?

Accepted Answer

y = (x - 3)(x + 2)

Answer

y = (x + 3)(x - 2)

Answer

y = (x - 2)(x + 3)

Question 17

Which of these equations represents a function with a zero at x = 2?

Accepted Answer

y = (x - 2)(x + 3)

Answer

y = (x - 3)(x - 2)

Answer

y = (x + 2)(x + 3)

Question 18

Which of these functions has a zero at x = -3?

Accepted Answer

y = (x - 3)(x + 1)

Answer

y = (x + 3)(x - 2)

Answer

y = (x + 3)(x + 1)

Question 19

Which of the following is a quadratic polynomial function?

Accepted Answer

f(x) = x^2 - 5x + 6

Answer

f(x) = 2x + 3

Answer

f(x) = 3x^3 + 2x^2 - 1

Answer

f(x) = x^4 - 2x^2 + 1

Question 20

The function h(x) = x^2 - 9 has two zeros. Which numbers are they?

Accepted Answer

-3 and 3

Answer

3 and -3

Answer

0 and 9

Answer

-9 and 0

Question 21

What is the zero of the function f(x) = 2x - 4?

Accepted Answer

x = 2

Answer

x = -2

Answer

x = 0

Answer

x = 4