Exam 5: Polynomials: an Introduction to Algebra

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Find the product. (2y2−4y−8)(6y−2)\left( 2 y ^ { 2 } - 4 y - 8 \right) ( 6 y - 2 )

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Find the product. (12x)(−6x4)(2x3z6)( 12 x ) \left( - 6 x ^ { 4 } \right) \left( 2 x ^ { 3 } z ^ { 6 } \right)

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Find the quotient and check. (32m2−16m−16)÷(4m+2)\left( 32 m ^ { 2 } - 16 m - 16 \right) \div ( 4 m + 2 )

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Find the product. (56x4m2)(611x2mq2)\left( \frac { 5 } { 6 } x ^ { 4 } m ^ { 2 } \right) \left( \frac { 6 } { 11 } x ^ { 2 } m q ^ { 2 } \right)

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Use the rule for exponents to simplify. (−z4)5\left( - z ^ { 4 } \right) ^ { 5 }

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Divide. 24w4r4+32w3r3−40w2r28w3r3\frac { 24 w ^ { 4 } r ^ { 4 } + 32 w ^ { 3 } r ^ { 3 } - 40 w ^ { 2 } r ^ { 2 } } { 8 w ^ { 3 } r ^ { 3 } }

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Let pp = 1010 and yy = 1010 and evaluate the expression. 6−6(p+y)6 - 6 ( p + y )

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Find the product. (2y2−4y−8)(6y−1)\left( 2 y ^ { 2 } - 4 y - 8 \right) ( 6 y - 1 )

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