Polynomials Practice 2: Graphical Zeros And Relations

Practise focused skills from Polynomials

MathematicsGrade 10Mixed10 questions20 min

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Section A: Graph and Table Reading · 5 questionsSection B: Coefficient Relations · 5 questions

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Section A: Graph and Table Reading

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

A graph of $y=p(x)$ crosses the $x$ -axis at $x=-2$ and $x=5$ . What are the zeros?

Topic: Graphical Zeros · Skill: Identify zeros from a graph

Question 2

EasyQuestion

If a polynomial graph does not touch or cross the $x$ -axis, how many real zeros are visible?

Topic: Graphical Zeros · Skill: Connect number of zeros to graph intersections

Question 3

MediumQuestion

A U-shaped graph touches the $x$ -axis at $x=3$ and turns back. How many distinct real zeros does it have?

Topic: Graphical Zeros · Skill: Identify zeros from a graph

Question 4

MediumQuestion

A quadratic graph cuts the $x$ -axis at two points. What can you say about its real zeros?

Topic: Graphical Zeros · Skill: Connect number of zeros to graph intersections

Question 5

MediumQuestion

For $p(x)=2x^2-7x+3$ , the sum of zeros is:

Topic: Quadratic Relations · Skill: Find sum of zeros from coefficients

What this assignment covers

Read zeros from graphs and connect quadratic zeros with coefficient relationships.

Skills and sections

Identify zeros from a graph, Connect number of zeros to graph intersections, Find sum of zeros from coefficients, Find product of zeros from coefficients, Verify zero-coefficient relationships

Section A: Graph and Table Reading: 5 questions
Section B: Coefficient Relations: 5 questions