# 1. 2+13x<2 exponent> - 2(x<2 exponent>+4x<3 ex>)polynomial. help me simplify and solve the polynomial.write it in standard form.

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1.

1a.) 2 + 13x^2 - 2(x^2+4x^3)

1b.) 2 + 13x^2 - 2x^2 + 8x^3

1c.) 2 + 11x^2 + 8x^3

1d.) 8x^3 + 11x^2 + 2

2+13x²-2(x²+4x³)

2+13x²-2x²-8x³

2+11x²-8x³

2 + 13x^2 - 2(x^2+4x^3)

Distribute the -2 to the parenthesis you will end up with

2 + 13x^2 - 2x^2 - 8x^3

now combine like terms

2 + 11x^2 - 8x^3

put the numbers in descending order (the ones with the highest exponents go first

-8x^3 + 11x^2 + 2

That's the answer

1) 2+ 13x^2- 2( X^2 + 4x^3)

= 2+ 13x^2- 2x^2- 8x^3

= -8x^3+11x^2+2