Krystal Villanueva

2022-02-02

What is Multiplication of Monomials by Polynomials?

Dzikowiec5wa

Beginner2022-02-03Added 13 answers

It works the same as with numbers. For numbers, you know that a(b+c) equals ab+ac.

For the same reason, if you have a monomial and you want to multiplicate it by a polynomial (which is a sum of monomials with some coefficients!), you follow the same rule.

For example, if your monomial is$3{x}^{2}$ , and your polynomial is $3+2x-5{x}^{2}+8{x}^{3}$ , the product is

$3{x}^{2}(3+2x-5{x}^{2})+8{x}^{3}$

you will calculate is as

$3{x}^{2}\cdot 3+3{x}^{2}\cdot 2x-3{x}^{2}\cdot 5{x}^{2}+3{x}^{2}\cdot 8{x}^{3}$ , which is

$9{x}^{2}+6{x}^{3}-15{x}^{4}+24{x}^{5}$

For the same reason, if you have a monomial and you want to multiplicate it by a polynomial (which is a sum of monomials with some coefficients!), you follow the same rule.

For example, if your monomial is

you will calculate is as

rossegues03b

Beginner2022-02-04Added 11 answers

When multiplying polynomials, each term from one polynomial must be multiplied by each term of the other polynomial. Since each term in a polynomial is a monomial, multiplying polynomials becomes multiplying monomials. ... The factors are regrouped, and then multiplied.

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$