HomePricing
Sign InJoin

Polynomials - Find the Root of Square Polynomial (Level 1)

The math topic focuses on identifying perfect square trinomials and finding the binomial factors that, when squared, produce the given polynomial. Each problem presents a polynomial expressed as a square of a binomial, and multiple choice answers are available for selecting the correct binomial factor. Key skills practiced include recognizing the structure of perfect square trinomials and applying the knowledge to factorize them correctly into binomials. This is aimed at enhancing proficiency within the broader unit of advanced polynomials and quadratics.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

View Unit

Polynomials - Find the Root of Square Polynomial

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

This polynomial is a perfect square. What factor squared would give this polynomial?

x2−10x+25x^2 - 10x + 25

Polynomials - Find the Root of Square Polynomial Worksheet

Mobius Math Club logo
Math worksheet on 'Polynomials - Find the Root of Square Polynomial (Level 1)'. Part of a broader unit on 'Polynomials and Quadratics - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/
1
This polynomial is a perfect square. What factor squared would give this polynomial?
A LaTex expression showing n to the power of 2 + 0n + 0
a A LaTex expression showing (n + 2) to the power of 2
b A LaTex expression showing (n + 0) to the power of 2
c A LaTex expression showing (n + 3) to the power of 2
d A LaTex expression showing (n - 2) to the power of 2
e A LaTex expression showing (n - 1) to the power of 2
f A LaTex expression showing (n + 1) to the power of 2
2
This polynomial is a perfect square. What factor squared would give this polynomial?
A LaTex expression showing n to the power of 2 - 2n + 1
a A LaTex expression showing (n + 0) to the power of 2
b A LaTex expression showing (n - 1) to the power of 2
c A LaTex expression showing (n - 3) to the power of 2
d A LaTex expression showing (n - 4) to the power of 2
e A LaTex expression showing (n + 1) to the power of 2
f A LaTex expression showing (n - 2) to the power of 2
3
This polynomial is a perfect square. What factor squared would give this polynomial?
A LaTex expression showing x to the power of 2 + 2x + 1
a A LaTex expression showing (x + 4) to the power of 2
b A LaTex expression showing (x + 0) to the power of 2
c A LaTex expression showing (x + 1) to the power of 2
d A LaTex expression showing (x - 2) to the power of 2
e A LaTex expression showing (x - 1) to the power of 2
f A LaTex expression showing (x + 3) to the power of 2
4
This polynomial is a perfect square. What factor squared would give this polynomial?
A LaTex expression showing c to the power of 2 + 8c + 16
a A LaTex expression showing (c + 1) to the power of 2
b A LaTex expression showing (c + 4) to the power of 2
c A LaTex expression showing (c + 3) to the power of 2
d A LaTex expression showing (c + 5) to the power of 2
e A LaTex expression showing (c + 6) to the power of 2
f A LaTex expression showing (c + 7) to the power of 2
5
This polynomial is a perfect square. What factor squared would give this polynomial?
A LaTex expression showing d to the power of 2 - 2d + 1
a A LaTex expression showing (d + 2) to the power of 2
b A LaTex expression showing (d + 0) to the power of 2
c A LaTex expression showing (d + 1) to the power of 2
d A LaTex expression showing (d - 3) to the power of 2
e A LaTex expression showing (d - 2) to the power of 2
f A LaTex expression showing (d - 1) to the power of 2
6
This polynomial is a perfect square. What factor squared would give this polynomial?
A LaTex expression showing p to the power of 2 - 8p + 16
a A LaTex expression showing (p - 3) to the power of 2
b A LaTex expression showing (p - 2) to the power of 2
c A LaTex expression showing (p - 5) to the power of 2
d A LaTex expression showing (p - 7) to the power of 2
e A LaTex expression showing (p - 4) to the power of 2
f A LaTex expression showing (p - 6) to the power of 2
7
This polynomial is a perfect square. What factor squared would give this polynomial?
A LaTex expression showing r to the power of 2 - 2r + 1
a A LaTex expression showing (r - 1) to the power of 2
b A LaTex expression showing (r + 2) to the power of 2
c A LaTex expression showing (r + 1) to the power of 2
d A LaTex expression showing (r - 2) to the power of 2
e A LaTex expression showing (r - 4) to the power of 2
f A LaTex expression showing (r + 0) to the power of 2