1.
Factor: \(36-60r+25r^2\)
Solution: Perfect square trinomial: \(36-60r+25r^2=(6-5r)^2\).
2.
Factor: \(6p^2-7p+2\)
Solution: \((2p-1)(3p-2)=6p^2-7p+2\).
3.
When factored completely, one factor of \(2x^2-5xy-25y^2\) will be:
Solution: \(2x^2-5xy-25y^2=(2x+5y)(x-5y)\).
4.
Factor: \(24b^2+50b-14\)
Solution: Factor out 2 first. Then factor \(12b^2+25b-7=(4b-1)(3b+7)\).
5.
Find an integer to replace □ so that this trinomial is a perfect square: \(64v^2-\square vw+81w^2\)
Solution: \((8v-9w)^2=64v^2-144vw+81w^2\). Missing value = 144.
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