Polynomials Practice 3: Construct And Reason

Practise focused skills from Polynomials

MathematicsGrade 10Mixed10 questions20 min

Print / Save as PDF

Preview

Preview questions

Sample preview - start assignment to submit answers.

Focus question style

Section A: Build Polynomials · 5 questionsSection B: Reason and Repair · 5 questions

Preview onlyStart free practice to answer.

Section A: Build Polynomials

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

Choose the best answer for each question.

Question 1

EasyQuestion

Form a monic quadratic polynomial whose zeros are $2$ and $5$ .

Topic: Quadratic Construction · Skill: Form a quadratic polynomial from zeros

Question 2

EasyQuestion

Which polynomial has the same zeros as $x^2-3x+2$ ?

Topic: Quadratic Construction · Skill: Form multiple polynomials with same zeros

Question 3

MediumQuestion

Find a quadratic polynomial whose sum of zeros is $6$ and product is $8$ .

Topic: Quadratic Construction · Skill: Form a quadratic polynomial from zeros

Question 4

MediumQuestion

A garden path model has zeros $-1$ and $4$ . Which polynomial could represent it?

Topic: Quadratic Construction · Skill: Form a quadratic polynomial from zeros

Question 5

MediumQuestion

Why do $x^2-5x+6$ and $3x^2-15x+18$ have the same zeros?

Topic: Quadratic Construction · Skill: Form multiple polynomials with same zeros

What this assignment covers

Form quadratic polynomials, identify same-zero polynomials, and solve missing-coefficient problems.

Skills and sections

Form a quadratic polynomial from zeros, Form multiple polynomials with same zeros, Find missing coefficient using zero relations, Analyse sign and coefficient mistakes

Section A: Build Polynomials: 5 questions
Section B: Reason and Repair: 5 questions