find the product of -1/2p²,4/3y²x,-2/3x²y
Answers
Answer:
here are some technics of factorization
Step-by-step explanation:
Polynomial – A polynomial is an algebraic expression which has a power of non negative integer such as →2, x, x², x² +1, 2x³ + 3x +4 etc.
Polynomial degree
2 0
X 1
x² 2
x² +1 2
2x³ + 3x +4 3
Factor of polynomial→ When a polynomial is divisible by another polynomial then the later will be the factor of the polynomial. As an example 2x² +x is divisible by x and 2x +1.There are different technics of evaluating factors of polynomials, depending on its structure.
Examples: Evaluate the factors of the following polynomial.
→First method is to get the common terms between two or more terms.
(i) x²+ xy
= x .x + x.y
Hint : x is common between both the terms
= x( x + y)
So, x and (x + y) will be the factor of x²+ xy.
Factorize the following algebric expression in similar ways.
(a) 4x² + 8xy (b) 8xy + xy² (c) 9x³ + 12x²y³
→Second method is to make pair of two terms and get the common between them.
(ii) x² + xy + x²y + y²x
= (x² + xy) + (x²y + y²x)
=x(x + y) + xy( x + y)
= (x + y) (x + xy)
=x(1 +y)(x+ y)[ applying the first method on (x + xy)]
Factorize the following polynomials in similar way.
(a) xy³ + x³y - x³y² - xy4 (b) 3xy² + 4x²y + 27x³y² +36x4y
hope it helps
Answer:
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