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If you see this PLEASE HELP

If you see this PLEASE HELP-example-1
User McSas
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1 Answer

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Given:


1. -3 x^(2)\left(4 x^(3)-7\right)\\$2. $(6 x-5)(2 x+3)$\\3. $(3 x-1)\left(x^(2)+5 x-2\right)$

To find:

The product of the polynomials.

Solution:

1.
-3 x^(2)\left(4 x^(3)-7\right)
=-3 x^(2)(4 x^(3)) -3 x^(2)(-7)

Multiply the numerical coefficient and add the powers of x.


=-12 x^(5)+21 x^(2)

2.
(6 x-5)(2 x+3)=6 x(2 x+3)-5(2x+3)

Multiply each term of first polynomial with each term of 2nd polynomial.

Multiply the numerical coefficient and add the powers of x.


=12 x^2+18x-10 x-15


=12 x^2+8x-15

3.
(3 x-1)\left(x^(2)+5 x-2\right)=3 x(x^(2)+5 x-2)-1(x^(2)+5 x-2)

Multiply each term of first polynomial with each term of 2nd polynomial.

Multiply the numerical coefficient and add the powers of x.


=3x^(3)+15 x^2-6x-x^(2)-5 x+2

Add or subtract like terms together.


=3x^(3)+14 x^2-11x+2

The answer for multiplying polynomials:


1. -12 x^(5)+21 x^(2)


2. \ 12 x^2+8x-15


3. \ 3x^(3)+14 x^2-11x+2

User Kenneth Hoste
by
7.6k points

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