Question

factorise the following polynomial
a) xy(z^2+1) + z(x^2 + y^2)


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Answer 1

☯️ 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.

Answer 2

$\huge \mathbb{\underbrace{\red{Question\:}}}$

Factorise the following polynomial

a) xy(z² + 1) + z(x² + y²)

$\huge{\boxed{\sf To Find}}$

Factorise the polynomial

$\huge{\boxed{\sf Answer}}$

➭ 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