This math topic involves simplifying polynomial expressions, specifically quadratic expressions formatted as `(variable^2 + 2*variable + 1) / (variable + 1)`. The problems require factoring quadratics and reducing the resulting expressions, skills that are essential in advanced algebra, particularly in the study of polynomials and quadratics. The expressions in question use variables such as n, r, d, m, p, y, and x, requiring students to generalize their factoring and simplification skills across different variable representations. Each problem provides multiple-choice answers, indicating a focus on selecting the correct simplified form.

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Polynomial Algebra X plus 1 Squared - Squared Variables Divided by Term - Simplify Worksheet

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Polynomial Algebra X plus 1 Squared - Squared Variables Divided by Term - Simplify
1
What does this expression simplify to?
A LaTex expression showing w to the power of 2 + 2w + 1 over w + 1
a A LaTex expression showing (w + 1) to the power of 2
b A LaTex expression showing (w + 1)
c A LaTex expression showing (w - 1)
2
What does this expression simplify to?
A LaTex expression showing p to the power of 2 + 2p + 1 over p + 1
a A LaTex expression showing (p - 1)
b A LaTex expression showing (p + 1)
c A LaTex expression showing (p + 1) to the power of 2
3
What does this expression simplify to?
A LaTex expression showing z to the power of 2 + 2z + 1 over z + 1
a A LaTex expression showing (z - 1)
b A LaTex expression showing (z + 1) to the power of 2
c A LaTex expression showing (z + 1)
4
What does this expression simplify to?
A LaTex expression showing x to the power of 2 + 2x + 1 over x + 1
a A LaTex expression showing (x + 1)
b A LaTex expression showing (x + 1) to the power of 2
c A LaTex expression showing (x - 1)
5
What does this expression simplify to?
A LaTex expression showing m to the power of 2 + 2m + 1 over m + 1
a A LaTex expression showing (m - 1)
b A LaTex expression showing (m + 1) to the power of 2
c A LaTex expression showing (m + 1)
6
What does this expression simplify to?
A LaTex expression showing q to the power of 2 + 2q + 1 over q + 1
a A LaTex expression showing (q - 1)
b A LaTex expression showing (q + 1)
c A LaTex expression showing (q + 1) to the power of 2
7
What does this expression simplify to?
A LaTex expression showing y to the power of 2 + 2y + 1 over y + 1
a A LaTex expression showing (y + 1)
b A LaTex expression showing (y - 1)
c A LaTex expression showing (y + 1) to the power of 2
8
What does this expression simplify to?
A LaTex expression showing n to the power of 2 + 2n + 1 over n + 1
a A LaTex expression showing (n - 1)
b A LaTex expression showing (n + 1)
c A LaTex expression showing (n + 1) to the power of 2