Factor Polynomials (Order 4) - As Quadratic (True/False), Coefficient 1

Level 1

This math topic practices factoring polynomials of fourth order, treating them as quadratic where the coefficient is 1. Each problem presents an expression with a suggested factoring, and learners decide if the factoring step is correct, selecting "Yes" or "No." These exercises are designed as an introduction to higher order polynomial factoring, emphasizing the application of algebraic rules to simplify expressions, and testing the understanding of polynomial identities and factoring techniques.

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

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Factor Polynomials (Order 4) - As Quadratic (True/False), Coefficient 1 Worksheet

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Factor Polynomials (Order 4) - As Quadratic (True/False), Coefficient...
1
A LaTex expression showing m to the power of 4 + 6m to the power of 2 + 8\\=(m to the power of 2 + 2)(m to the power of 2 + 4)
Is this factoring step correct?
a
Yes
b
No
2
A LaTex expression showing n to the power of 4 - 49\\=(n to the power of 2 + 7)(n to the power of 2 - 7)
Is this factoring step correct?
a
Yes
b
No
3
A LaTex expression showing q to the power of 4 - 5q to the power of 2 - 36\\=(q to the power of 2 - 9)(q to the power of 2 + 4)
Is this factoring step correct?
a
Yes
b
No
4
A LaTex expression showing p to the power of 4 - 12p to the power of 2 + 35\\=(p to the power of 2 - 5)(p to the power of 2 - 7)
Is this factoring step correct?
a
Yes
b
No
5
A LaTex expression showing w to the power of 4 - 9w to the power of 2 + 20\\=(20w to the power of 2 + 5)(w to the power of 2 - 4)
Is this factoring step correct?
a
No
b
Yes
6
A LaTex expression showing y to the power of 4 - 36\\=(y to the power of 2 + 12)(y to the power of 2 - 12)
Is this factoring step correct?
a
No
b
Yes
7
A LaTex expression showing w to the power of 4 - 13w to the power of 2 + 40\\=(w to the power of 2 - 8)(40w to the power of 2 + 5)
Is this factoring step correct?
a
No
b
Yes
8
A LaTex expression showing n to the power of 4 + 4n to the power of 2 - 45\\=(n to the power of 2 - 5)(n to the power of 2 + 9)
Is this factoring step correct?
a
Yes
b
No