This math topic focuses on factoring quadratic equations by initially removing a common factor, then further simplifying the quadratic expression. Students practice transforming these equations from standard form to a form where a common factor is removed, thereby simplifying the equation for easier manipulation and solving. Each question provides a quadratic equation, requiring students to identify and remove the common factor correctly among multiple choices, enhancing their skills in recognizing patterns and simplifying algebraic expressions within the context of quadratic factorization.

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

more
View

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

Mobius Math Academy logo
Factor the Quadratic Equation with Coefficient - Standard Form To Com...
1
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing -7t to the power of 2 + 63t - 98
a A LaTex expression showing 7(t to the power of 2 + 9t + 14)
b A LaTex expression showing 7(t to the power of 2 - 9t + 14)
c A LaTex expression showing -7(t to the power of 2 - 9t - 14)
d A LaTex expression showing -7(t to the power of 2 - 14t - 9)
e A LaTex expression showing -7(t to the power of 2 + 9t - 14)
2
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing -5z to the power of 2 - 25z + 70
a A LaTex expression showing -5(z to the power of 2 - 14z - 5)
b A LaTex expression showing -5(z to the power of 2 - 5z - 14)
c A LaTex expression showing 5(z to the power of 2 - 5z + 14)
d A LaTex expression showing 5(z to the power of 2 + 5z + 14)
e A LaTex expression showing -5(z to the power of 2 - 5z + 14)
3
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing -4m to the power of 2 - 4m + 48
a A LaTex expression showing -4(m to the power of 2 - 1m + 12)
b A LaTex expression showing -4(m to the power of 2 - 12m - 1)
c A LaTex expression showing -4(m to the power of 2 - 1m - 12)
d A LaTex expression showing 4(m to the power of 2 - 1m + 12)
e A LaTex expression showing 4(m to the power of 2 + 1m + 12)
4
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing -4y to the power of 2 + 12y + 112
a A LaTex expression showing -4(y to the power of 2 - 3y - 28)
b A LaTex expression showing 4(y to the power of 2 + 3y + 28)
c A LaTex expression showing -4(y to the power of 2 + 3y + 28)
d A LaTex expression showing -4(y to the power of 2 - 28y - 3)
e A LaTex expression showing 4(y to the power of 2 - 3y + 28)
5
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing -3z to the power of 2 - 30z - 48
a A LaTex expression showing 3(z to the power of 2 + 10z + 16)
b A LaTex expression showing 3(z to the power of 2 - 10z + 16)
c A LaTex expression showing -3(z to the power of 2 - 10z - 16)
d A LaTex expression showing -3(z to the power of 2 - 16z - 10)
6
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing -5z to the power of 2 - 35z - 50
a A LaTex expression showing 5(z to the power of 2 + 7z + 10)
b A LaTex expression showing -5(z to the power of 2 - 7z - 10)
c A LaTex expression showing 5(z to the power of 2 - 7z + 10)
d A LaTex expression showing -5(z to the power of 2 - 10z - 7)
7
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing -4p to the power of 2 + 24p - 32
a A LaTex expression showing 4(p to the power of 2 + 6p + 8)
b A LaTex expression showing -4(p to the power of 2 - 6p - 8)
c A LaTex expression showing -4(p to the power of 2 - 8p - 6)
d A LaTex expression showing 4(p to the power of 2 - 6p + 8)
e A LaTex expression showing -4(p to the power of 2 + 6p - 8)
8
Remove a common factor from this quadratic to make it easier to factor
A LaTex expression showing -3r to the power of 2 + 33r - 72
a A LaTex expression showing -3(r to the power of 2 + 11r - 24)
b A LaTex expression showing 3(r to the power of 2 - 11r + 24)
c A LaTex expression showing -3(r to the power of 2 - 24r - 11)
d A LaTex expression showing -3(r to the power of 2 - 11r - 24)
e A LaTex expression showing 3(r to the power of 2 + 11r + 24)