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### Grade 8 - Mathematics7.12 Multiplication of a Multinomial by a Monomial (Horizontal Method)

 To multiply a mutlinomial by a monomial: Method: Multiply each term of the multinomial by the monomial Write the products with the proper sign. Example: Multiply 5x2+6x-7 and 7x Solution: (5x2+6x-7)7x = (5x2)(7x)+(6x)(7x)-(7)(7x) (Distributive Property) = 35x3+42x2-49x Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: (5x3+7x2+9x-5)(10x) = _____?10x3+70x2-90x-5050x2+90x-5050x4+70x3+90x2-50x50x3+70x2+90x-50 Q 2: (5x3+9x2-15x-5)(15x) = _____?25x3+15x2-25x-17575x3+135x2-225x-7575x3+125x2-125x-5075x4+135x3-225x2-75x Q 3: (9x2+7x+9)(8x) = _____?72x2+56x+7272x3+56x2+72x72x3+49x2+64x68x3+56x2+72x Q 4: (5x2-7x+15)(3x) = _____?15x2-21x+45x8x32-25x15x3-21x2+45x15x4-21x3-21x+45 Q 5: (6x2+7x-5)(5x) = _____?11x3+14x2+25x30x3+35x2+25x30x3+35x2-25x30x3-35x2+20x Q 6: (7x3+6x2+5x-1)(6x) = _____?40x3-362+30x-613x3+362-30x-642x4+36x3+30x2-6x42x3+36x2+30x-6 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!