Polynomials - Complete the Square (Level 1)

This math topic involves the practice of completing the square with quadratic expressions, an advanced algebraic technique. Each problem presents a quadratic in the form \( ax^2 + bx + ? \), and students must determine which constant value will turn the polynomial into a perfect square trinomial. This practice is critical for understanding polynomials and quadratics, and is framed as a multiple-choice exercise with options provided. This helps in enhancing skills like manipulating algebraic expressions and critical thinking in the context of polynomial identities.

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

Polynomials - Complete the Square Worksheet

Math worksheet on 'Polynomials - Complete the Square (Level 1)'. Part of a broader unit on 'Polynomials and Quadratics - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/

1

Which constant value makes this polynomial a perfect square?

a

51

b

64

c

25

d

98

e

99

f

81

2

Which constant value makes this polynomial a perfect square?

a

39

b

16

c

4

d

2

e

40

f

17

3

Which constant value makes this polynomial a perfect square?

a

12

b

0

c

1

d

-5

e

-3

f

11

4

Which constant value makes this polynomial a perfect square?

a

8

b

4

c

9

d

12

e

11

f

1

5

Which constant value makes this polynomial a perfect square?

a

60

b

64

c

81

d

36

e

52

f

84

6

Which constant value makes this polynomial a perfect square?

a

9

b

6

c

-4

d

12

e

1

f

16

7

Which constant value makes this polynomial a perfect square?

a

25

b

8

c

16

d

1

e

4

f

24