Question

Q6. From
the following algebraic expression, write
terms and their coefficients.
i) 2x² - 4x +3​

Answer 1

Answer:

Write the numerical coefficient of each term in the following algebraic expressions:

4x

2

y−

2

3

xy+

2

5

xy

2

−

3

5

x

2

y+

4

7

xyz+3

Answer 2

Answer:

• Hope the concept is clear!

Step-by-step explanation:

Given that, An algebraic expression: $\rm{2x^2-4x+3}$

We need to find,

• Terms

• Coefficients

First, let's understand the concept.

$\huge{\underline{\rm{What\:are\:terms?}}}$

Terms in an algebraic expression are the number of elements that are present in an expression, without including any + or - signs. This is so, because these elements are separated from each other by these signs.

Consider a general expression: $\rm{ax^3+bx^2+cx+d}$

In this expression, if we reject the plus signs, we get ax³, bx², cx, d.

• These are nothing but, terms.

$\huge{\underline{\rm{What\:are\:coefficients?}}}$

The number or a factor of a variable is known as coefficients. Variable is any letter that is used in replacement of any number.

Consider the same expression: $\rm{ax^3+bx^2+cx+d}$

• For the first term(ax³), the coefficient is a

• For the second term(bx²), the coefficient is b

• For the third term(cx), the coefficient is c

• For the fourth term(d), the coefficient is the same, d

$\large{\sf{Solution:}}$

$\rm{2x^2-4x+3}$

$\rightarrow$ No. of terms = 3 terms

$\rightarrow$ They are: 2x², -4x, 3

• For the first term, the coefficient is 2

• For the second term, the coefficient is -4

• For the third term, the coefficient is the same, 3

Leading coefficients in $\rm{2x^2-4x+3}$ = 2

[Leading Coefficient is the coefficient of an algebraic expression with highest power or exponent.]