(5x-1 (3x-1) Multiplication and Division of polynomials
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(5x-1 (3x-1) Multiplication and Division of polynomials
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Polynomials-a statement made up of variables and constants, using addition, subtraction, multiplication, and counting numbers over and over again.
Monomials-a statement made up of variables and constants.
How to multiply monomials?
1.Find the monomial will be multiplied.
7x(8y)
2.Multiply the constant of the first monomial to the constant of the next monomial.
7x(8y)
7(8)=56
3.Multiply the variable of the first monomial to the variable of the next monomial.
7x(8y)
x(y)=xy
4.Put the variable to the right side of the product of the two constant.
56xy
5.Rewrite the answer.
56xy
How to divide monomials?
1.Find the monomials will be divided.
7x/8y
2.Divide the constant of the first monomial to the constant of the next monomial.
7x/8y
7/8=7/8
3.Divide the variable of the first monomial to the variable of the next monomial.
7x/8y
x/y=x/y
4.Put the variable to the right side of the quotient of the two constant.
7/8 x/y
5.Rewrite the answer.
7/8 x/y
Polynomials
5x+89
5x----------->First term+89---->Second term
How to multiply polynomials?
1.Find the polynomials will be multiply.
(5x+8)(8y-9)
2.Multiply the first term of the first polynomial to the first term of the next polynomial.
(5x+8)(8y-9)
5x(8y)=40xy
3.Multiply the first term of the first polynomial to the second term of the next polynomial.
(5x+8)(8y-9)
5x(-9)=-45x
6.Put the product of the first term of the first polynomial and the second term of the next polynomial on the right side of the product of the first term of the first polynomial and the first term of the next polynomial.
40xy-45x
5.Multiply the second term of the first polynomial to the first term of the next polynomial.
(5x+8)(8y-9)
+8(8y)=+64y
6.Multiply the second term of the first polynomial to the second term of the next polynomial.
(5x+8)(8y-9)
+8(-9)=-72
7.Put the product of the second term of the first polynomial and the second term of the next polynomial on the right side of the product of the second polynomial and the first term of the next polynomial.
+64y-72
8.Put on the left of the product of the second term of the first polynomial to the next polynomial the product of the first term of the first polynomial to the next polynomial.
40xy-45x+64y-72
9.Rewrite the answer.
40xy-45x+64y-72
How to divide polynomials?
Do the same thing in multiplying polynomials but change this words.
multiply-divide
product-quotient
Lets answer your question.
(5x-1)(3x-1)=15-5x-3x+1
Answer=15-5x-3x+1
5x-1/3x-1=5/3-5x-1/3x+1
Answer=5/3-5x-1/3x+1
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