Perfect Square Trinomials Worksheet
Grade 11 Algebra worksheet focusing on identifying, factoring, and constructing perfect square trinomials.
Includes
Standards
Topics
Perfect Square Trinomials
Name:
Date:
Score:
Read each question carefully and follow the instructions. Show all your work for full credit.
1. Which of the following is a perfect square trinomial?
x² + 6x + 8
x² + 10x + 25
x² - 4x + 16
x² - 8x - 16
2. The factored form of x² - 12x + 36 is:
(x + 6)(x - 6)
(x + 6)²
(x - 6)²
(x - 12)²
3. A perfect square trinomial is a trinomial that results from squaring a .
4. For a trinomial ax² + bx + c to be a perfect square trinomial, the middle term 'b' must be equal to .
5. Factor the following perfect square trinomial: 9x² + 24x + 16
6. Factor the following perfect square trinomial: 25y² - 70y + 49
7. The expression 4x² + 20x + 25 is a perfect square trinomial.
True
False
8. The expression x² - 10x - 100 can be factored as a perfect square trinomial.
True
False
9. Find the value of 'k' that makes the trinomial x² + 14x + k a perfect square trinomial.
10. Find the value of 'c' that makes the trinomial 4x² - 28x + c a perfect square trinomial.
Related Worksheets
Radical Operations Worksheet
This worksheet provides practice on simplifying, adding, subtracting, multiplying, and dividing radical expressions for Grade 11 students.
Inductive Reasoning Worksheet
A Grade 11 math worksheet focusing on inductive reasoning, pattern recognition, and forming conjectures.
Conditional Statements Worksheet
Grade 11 Math worksheet focusing on conditional statements, converses, inverses, contrapositives, and biconditionals.
Solving Polynomial Equations Worksheet
Grade 11 Math worksheet focusing on solving polynomial equations, including factoring, rational root theorem, and synthetic division.
Grade 11 Matrices Worksheet
A worksheet for Grade 11 algebra students focusing on fundamental matrix operations, determinants, and inverses.
Dividing Radicals Worksheet
Grade 11 worksheet on dividing radical expressions, including rationalizing denominators.
Properties of Equality Worksheet
Explore and apply the fundamental properties of equality including reflexive, symmetric, transitive, addition, subtraction, multiplication, and division properties with algebraic expressions.
Combining Polynomials Worksheet
A Grade 11 math worksheet focused on combining polynomials through addition, subtraction, and multiplication, including special products.