Question

Add x³+ 5x² +3x to 6x²-8x³ +8

step by step explanation need .
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Answer 1

11x^2-7 x^3+8+3x

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Answer 2

Concept

A polynomial is an expression of two or more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable. The polynomial having highest power 1 is monomial, the polynomial having highest power 2 is binomial , the polynomial having highest power 3 is trinomial.

Given

Two polynomial

1=$x^{3}+5x^{2} +3x$

2=$6x^{2} -8x^{3} +8$

To find

Add the given polynomials.

Explanation

We have to add the two polynomial functions given as under:

$x^{3}+5x^{2} +3x$

$6x^{2} -8x^{3} +8$

Sum of the above functions is as under:

$x^{3} +5x^{2} +3x+6x^{2} -8x^{3}+8$

we have to add coefficients of variables having equal powers.

$x^{3}-8x^{3}+5x^{2} +6x^{2} +3x+8$

$-7x^{3} +11x^{2} +3x+8$

Hence the polynomial after addition is $-7x^{3}+11x^{2} +3x+8$.

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