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Multiply the following polynomials. Once simplified, name the resulting polynomial. (3x^2 - 4) (5x - 6)name:

Sagot :

Cubic

Explanation:

(3x² - 4) (5x - 6)

= 3x²(5x - 6) - 4(5x - 6)

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

= 15x³ - 18x² - 20x + 24

Naming polynomial base on the number of terms:

There are 4 terms in the polynomial above

4 terms is named polynomial of 4 terms

Naming by degree:

The highest degree (exponent) = 3

Polynomial with degree 3 is called cubic

So we can name the polynomial as cubic

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