This math topic focuses on factoring quadratic equations by removing a common factor. It is part of a broader unit on the factoring of quadratics, aimed at making the process more manageable by initially simplifying the equations. Each problem presents a quadratic in standard form, and the task is to identify and factor out the greatest common factor, simplifying the expression for easier further handling. The worksheet includes multiple-choice questions with given answers in varying factored forms to assess the understanding of the concept. This practice is essential for algebra students learning about polynomials and their factorization.

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

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Factor the Quadratic Equation with Coefficient - Standard Form To Common Factor Removed Worksheet

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Factor the Quadratic Equation with Coefficient - Standard Form To Com...
1
A LaTex expression showing 6z to the power of 2 - 54z + 84
Remove a common factor from this quadratic to make it easier to factor
a A LaTex expression showing 6(z to the power of 2 - 9z + 14)
b A LaTex expression showing 6(z to the power of 2 + 9z - 14)
2
A LaTex expression showing 8z to the power of 2 + 8z - 96
Remove a common factor from this quadratic to make it easier to factor
a A LaTex expression showing 8(z to the power of 2 - 1z + 12)
b A LaTex expression showing 8(z to the power of 2 + 1z - 12)
3
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing 3r to the power of 2 - 36r + 105
a A LaTex expression showing 3(r to the power of 2 + 12r + 35)
b A LaTex expression showing 3(r to the power of 2 - 12r + 35)
4
A LaTex expression showing 6t to the power of 2 - 54t + 84
Remove a common factor from this quadratic to make it easier to factor
a A LaTex expression showing 6(t to the power of 2 - 9t + 14)
b A LaTex expression showing 6(t to the power of 2 + 9t + 14)
5
A LaTex expression showing 3r to the power of 2 - 27r + 42
Remove a common factor from this quadratic to make it easier to factor
a A LaTex expression showing 3(r to the power of 2 + 14r - 9)
b A LaTex expression showing 3(r to the power of 2 - 9r + 14)
6
A LaTex expression showing 3q to the power of 2 - 36q + 81
Remove a common factor from this quadratic to make it easier to factor
a A LaTex expression showing 3(q to the power of 2 + 27q - 12)
b A LaTex expression showing 3(q to the power of 2 - 12q + 27)
7
A LaTex expression showing 3y to the power of 2 + 15y + 18
Remove a common factor from this quadratic to make it easier to factor
a A LaTex expression showing 3(y to the power of 2 + 5y - 6)
b A LaTex expression showing 3(y to the power of 2 + 5y + 6)
8
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing 3r to the power of 2 + 39r + 108
a A LaTex expression showing 3(r to the power of 2 + 36r - 13)
b A LaTex expression showing 3(r to the power of 2 + 13r + 36)