factorise the following polynomial
a) xy(z^2+1) + z(x^2 + y^2)
answer this question ASAP and don't spam
right answer will be marked as brainliest
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factorise the following polynomial
a) xy(z^2+1) + z(x^2 + y^2)
answer this question ASAP and don't spam
right answer will be marked as brainliest
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☯️ Given Polynomial :-
xy(z² + 1) + z(x² + y²)
☯️ To Find :-
We need to find its factorised form.
☯️ How To Solve?
Multiply the terms and then Solve..!
☯️ Solution :-
➛ xy × z² + xy × 1 + z × x² + z × y²
➛ xyz² + xy + x²z + y²z
Hence, This is the required answer.
EXTRA INFORMATION :-
• Polynomial is an expression containing variables and coefficients.
• Polynomials are divided into 3 types :-
1] Monomial.
2] Binomial.
3] Trinomial.
[tex]\huge \mathbb{\underbrace{\red{Question\:}}}[/tex]
Factorise the following polynomial
a) xy(z² + 1) + z(x² + y²)
[tex]\huge{\boxed{\sf To Find}}[/tex]
Factorise the polynomial
[tex]\huge{\boxed{\sf Answer}}[/tex]
➭ xy(z²) + xy(1) + z( x² ) + z( y² )
➭ xyz² + xy + x²z + y²z
☞ Hence Verified
There are three types of polynomial they're:-
1. Monomial:- It consists of only 1 term.
Example:- 3x
2. Binomial:- It consists of 2 terms.
Example:- 2yz² + 3x
Trinomial:- It consists of 3 terms.
Example:- 3yx² + 9x + 2
Polynomial:- It consists of 4 terms.
Example:- xyz² + xy + x²z + y²z