Question

To multiply a monomial by a polynomial, use the Property. Using this property, the product of (2k2 – 7k + 3) and 4k is .

Answer 1

Answer :

Property - when a monomial be multiplied by a polynomial, the power of the monomial terms be added, since a polynomial contains monomial terms only with powers and sum of terms.
E.g., x(x² + 1) = x.x² + x = x^(1 + 2) + x = x³ + x

SOLUTION :

Now, 4k((2k² - 7k + 3)

= 4k.2k² - 4k.7k + 4k.3

= 8.k^(1 + 2) - 28.k^(1 + 1) + 12k

= 8k³ - 28k² + 12k,
which is the required multiplication using the Property.

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