Polynomials-Target+E-Completely+Factor-Practice+Problems

math \textbf{1)} \ x^2-4 math
 * Write an equivalent expression in factored form. **

math \textbf{2)} \ y^2-25 math

math \textbf{3)} \ 4x^2-9 math

math \textbf{4)} \ 9p^2-4 math

math \textbf{5)} \ 4z^2-1 math

math \textbf{6)} \ 25x^2-4y^2 math

math \textbf{7)} \ y^2-x^2 math

math \textbf{8)} \ 16x^2-49 math

math \textbf{9)} \ 100d^2-121 math

math \textbf{10)} \ \text{-}x^2+9 math

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 * Write an equivalent expression in factored form. **

math \textbf{11)} \ x^2+10x+25 math

math \textbf{12)} \ y^2-8y+16 math

math \textbf{13)} \ y^2+14y+49 math

math \textbf{14)} \ z^2-6z+9 math

math \textbf{15)} \ p^2-16p+64 math

math \textbf{16)} \ 4p^2-20p+25 math

math \textbf{17)} \ 9n^2+12n+4 math

math \textbf{18)} \ 4z^2-12z+9 math

math \textbf{19)} \ x^2+4xy+4y^2 math

math \textbf{20)} \ \text{-}x^2-10x-25 math

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math \textbf{21)} \ m^2+6m+5 math
 * Write an equivalent expression in factored form. **

math \textbf{22)} \ x^2-13x+42 math

math \textbf{23)} \ \dfrac{1}{5}n^2-2n+5 math

math \textbf{24)} \ x^2+8x+7 math

math \textbf{25)} \ 0.1x^2-0.8x+1.6 math

math \textbf{26)} \ n^2+4n-12 math

math \textbf{27)} \ \dfrac{1}{3}x^2+3x-\dfrac{70}{3} math

math \textbf{28)} \ x^2+6x-72 math

math \textbf{29)} \ 0.25c^2-2.5c+4 math

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math \textbf{30)} \ x^2-18x+32 \\ \ \ \ \ \ \ (x-2)(x-a) math
 * What value of a would make the second statement equivalent to the first? **

math \textbf{31)} \ 2b^2+9b+4 \\ \ \ \ \ \ \ (2b+a)(b+4) math

math \textbf{32)} \ 5x^2-3x-2 \\ \ \ \ \ \ \ (ax+2)(x-1) math

math \textbf{33)} \ 2p^2-11p+15 \\ \ \ \ \ \ \ (2p-5)(p-a) math

math \textbf{34)} \ 7n^2+9n+2 \\ \ \ \ \ \ \ (7n+a)(n+1) math

math \textbf{35)} \ 5x^2-22x+8 \\ \ \ \ \ \ \ (5x-a)(x-4) math

math \textbf{36)} \ 3s^2+4s-4 \\ \ \ \ \ \ \ (3s-a)(s+a) math

math \textbf{37)} \ 3x^2+29x-44 \\ \ \ \ \ \ \ (3x-4)(x+a) math

math \textbf{38)} \ 28z^2-11z+1 \\ \ \ \ \ \ \ (az-1)(4z-1) math

math \textbf{39)} \ 5x^2-2x-7 \\ \ \ \ \ \ \ (x+1)(5x-a) math

math \textbf{40)} \ 3x^2+7x-6 \\ \ \ \ \ \ \ (3x-a)(x+3) math

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math \textbf{41)} \ x^3-5x^2+6x math
 * Write an equivalent expression in factored form. **

math \textbf{42)} \ 2x^3+x^2-3x math

math \textbf{43)} \ 2x^3+6x^2-20x math

math \textbf{44)} \ \dfrac{1}{2}x^3-x^2-4x math

math \textbf{45)} \ 2ab^2-8ab-42a math

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math \textbf{46)} \ x^3+3x^2-10x \\ \ \ \ \ \ \ x(x-a)(x+5) math
 * What value of a would make the second statement equivalent to the first? **

math \textbf{47)} \ 2x^3+11x^2+12x \\ \ \ \ \ \ \ x(2x+a)(x+4) math


 * 48) If the length (l) of a rectangle is two more than its width what is and expression for the area? **


 * 49) If a rectangle has a width of (x+5) and a width of (x-2), what would be an expression for the area? What would be an expression for the perimeter? **

math \textbf{a)} \ (x+1)(x-5) \\ \textbf{b)} \ (x-1)(x+5) \\ \textbf{c)} \ (x-2)^2+1 \\ \textbf{d)} \ (x-2)^2-9 \\ \textbf{e)} \ x^2-4x-5 \\ \textbf{f)} \ (x-3)(x-1)-8 \\ math
 * 50) Which are equivalent? **

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