This math topic focuses on simplifying expressions involving polynomials and quadratic formulas under square roots. The problems include determining the simplified form of expressions like the square root of \((x+1)^2\), a key concept in understanding advanced polynomials and quadratics. Each problem presents an expression and asks what it simplifies to, with multiple-choice answers provided for selection. These exercises are part of a broader educational unit on advanced polynomials and quadratics.

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Polynomial Algebra X plus 1 Squared - Squared Variables under Square Root - Simplify Worksheet

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Polynomial Algebra X plus 1 Squared - Squared Variables under Square Root - Simplify
1
What does this expression simplify to?
A LaTex expression showing square root of y to the power of 2 + 2y + 1
a A LaTex expression showing (y - 1)
b A LaTex expression showing (y + 1) to the power of 2
c A LaTex expression showing (y + 1)
2
What does this expression simplify to?
A LaTex expression showing square root of x to the power of 2 + 2x + 1
a A LaTex expression showing (x - 1)
b A LaTex expression showing (x + 1)
c A LaTex expression showing (x + 1) to the power of 2
3
What does this expression simplify to?
A LaTex expression showing square root of r to the power of 2 + 2r + 1
a A LaTex expression showing (r - 1)
b A LaTex expression showing (r + 1)
c A LaTex expression showing (r + 1) to the power of 2
4
What does this expression simplify to?
A LaTex expression showing square root of n to the power of 2 + 2n + 1
a A LaTex expression showing (n + 1) to the power of 2
b A LaTex expression showing (n + 1)
c A LaTex expression showing (n - 1)
5
What does this expression simplify to?
A LaTex expression showing square root of m to the power of 2 + 2m + 1
a A LaTex expression showing (m + 1)
b A LaTex expression showing (m - 1)
c A LaTex expression showing (m + 1) to the power of 2
6
What does this expression simplify to?
A LaTex expression showing square root of q to the power of 2 + 2q + 1
a A LaTex expression showing (q + 1)
b A LaTex expression showing (q + 1) to the power of 2
c A LaTex expression showing (q - 1)
7
What does this expression simplify to?
A LaTex expression showing square root of p to the power of 2 + 2p + 1
a A LaTex expression showing (p + 1) to the power of 2
b A LaTex expression showing (p + 1)
c A LaTex expression showing (p - 1)
8
What does this expression simplify to?
A LaTex expression showing square root of t to the power of 2 + 2t + 1
a A LaTex expression showing (t - 1)
b A LaTex expression showing (t + 1) to the power of 2
c A LaTex expression showing (t + 1)