Name: Factorisation Using Difference of Two Squares
Uploaded: 2019-07-19
Duration: 5 min 14 s
Description: Sometimes writing a polynomial as the difference of two squares is the only way to factorise it. So let’s learn how to do it in this simple video!

Question

Classify the following polynomials based on number of terms.

S.No.	Polynomial	No of Terms	Type of polynomial based of terms
(i)	$5 t^{3} + 6 t + 8 t^{2}$	$3$ Terms
(ii)	$y - 7$	$2$ Terms
(iii)	$\frac{2}{3} r^{4}$	$1$ Term
(iv)	$6 y^{5} + 3 y - 7$	$3$ Term
(v)	$8 m^{2} + 7 m^{2}$	Like Terms. So, it is $15 m^{2}$ which is $1$ term only

Accepted Answer

Given,

S.No. Polynomial No of Terms Type of polynomial based of terms

(i) $5 t^{3} + 6 t + 8 t^{2}$ $3$ Terms

(ii) $y - 7$ $2$ Terms

(iii) $\frac{2}{3} r^{4}$ $1$ Term

(iv) $6 y^{5} + 3 y - 7$ $3$ Term

(v) $8 m^{2} + 7 m^{2}$ Like Terms. So, it is $15 m^{2}$ which is $1$ term only

An algebraic expression that contains only one term is called as monomial.

An algebraic expression that contains two terms is known as binomial.

An algebraic expression containing three terms is known as trinomial.

S.No. Polynomial No of Terms Type of polynomial based of terms

(i) $5 t^{3} + 6 t + 8 t^{2}$ $3$ Terms Trinomial

(ii) $y - 7$ $2$ Terms Binomial

(iii) $\frac{2}{3} r^{4}$ $1$ Term Monomial

(iv) $6 y^{5} + 3 y - 7$ $3$ Term Trinomial

(v) $8 m^{2} + 7 m^{2}$ Like Terms. So, it is $15 m^{2}$ which is $1$ term only Monomial

Important Questions on Algebra

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S.No.	Polynomial	Degree	Type
(i)	$\sqrt[3]{4} z + 7$
(ii)	$z^{3} - z^{2} + 3$
(iii)	$\sqrt{7}$
(iv)	$y^{2} - \sqrt{8}$

Classify the following polynomials based on number of terms. S.No. Polynomial No of Terms Type of polynomial based of terms (i) 5t3+6t+8t2 3 Terms (ii) y-7 2 Terms (iii) 23r4 1 Term (iv) 6y5+3y-7 3 Term (v) 8m2+7m2 Like Terms. So, it is 15 m2 which is 1 term only

Important Questions on Algebra

Learn and Prepare for any exam you want !