Find the sum of the polynomials:

$8{x}^{3}-2{x}^{2}+6x-2$ and $3{x}^{4}-2{x}^{3}+{x}^{2}+x$

dedica66em
2021-12-12
Answered

Find the sum of the polynomials:

$8{x}^{3}-2{x}^{2}+6x-2$ and $3{x}^{4}-2{x}^{3}+{x}^{2}+x$

You can still ask an expert for help

Neunassauk8

Answered 2021-12-13
Author has **30** answers

Step 1

To find the sum of polynomials:$8{x}^{3}-2{x}^{2}+6x-2$ and $3{x}^{4}-2{x}^{3}+{x}^{2}+x$

Solution:

$(8{x}^{3}-2{x}^{2}+6x-2)+(3{x}^{4}-2{x}^{3}+{x}^{2}+x)$

On simplifying further we get:

$(8{x}^{3}-2{x}^{2}+6x-2)+(3{x}^{4}-2{x}^{3}+{x}^{2}+x)=3{x}^{4}+8{x}^{3}-2{x}^{3}-2{x}^{2}+{x}^{2}+6x+x-2$

$\Rightarrow (8{x}^{3}-2{x}^{2}+6x-2)+(3{x}^{4}-2{x}^{3}+{x}^{2}+x)=3{x}^{4}+(8{x}^{3}-2{x}^{3})-(2{x}^{2}-{x}^{2})+(6x+x)-2$

$\Rightarrow (8{x}^{3}-2{x}^{2}+6x-2)+(3{x}^{4}-2{x}^{3}+{x}^{2}+x)=3{x}^{4}+6{x}^{3}-{x}^{2}+7x-2$

Step 2

Result:

Required expression is:

$3{x}^{4}+6{x}^{3}-{x}^{2}+7x-2$

To find the sum of polynomials:

Solution:

On simplifying further we get:

Step 2

Result:

Required expression is:

otoplilp1

Answered 2021-12-14
Author has **41** answers

asked 2021-06-03

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term.

$g(x)=3-\frac{{x}^{2}}{4}$

asked 2021-02-10

Find an LU factorization of the matrix A (with L unit lower triangular).

$A=\left[\begin{array}{cc}5& 4\\ -4& -3\end{array}\right]$

L-?

U-?

L-?

U-?

asked 2021-02-22

Need to calculate:The factorization of the polynomial, $2{x}^{4}+6{x}^{2}+5{x}^{2}+15$ .

asked 2022-02-10

How do you multiply $(3{u}^{2}-n)}^{2$ ?

asked 2021-12-10

Use the factorization theorem to prove that x-c is a factor of $x}^{n}-{c}^{n$ for any positive integer n.

asked 2022-02-06

How do you find the product $14{t}^{3}u(2{t}^{2}{u}^{2}-10t{u}^{4}+2)$ ?

asked 2022-01-29

What is the coefficient of x/2?