Question

Solve the crossword, on the basis of clues mentioned below.

Across
$1 .$ A polynomial of degree two
$5 .$ Degree of $7 m - 7$
$7 .$ Degree of a non-zero constant polynomial
$8 .$ $4$ in $4 x + 3$
$9 .$ $x$ and $8$ in $x - 8$

Down
$2 .$ The highest power of variable
$3 .$ $5$ is....... polynomial
$4 .$ A polynomial that has two terms
$6 .$ A polynomial of degree one
$9 .$ Degree of $5 t^{2} - 7 t + 1$

Accepted Answer

We shall solve the crossword as follows:

Across
$1 .$ A polynomial of degree two: A polynomial with degree $2$ is called a quadratic equation. So, the correct word for this field is $" Q U A D R A T I C "$ .

$5 .$ Degree of $7 m - 7$ : The degree of $7$ is $0$ and the degree of $m = m^{1}$ is $1$ . So, the degree of $7 m$ is $2 .$ . So, the degree of the expression $7 m - 7$ is $1$ . So, the correct word for this field is $" O N E "$ .

$7 .$ Degree of a non-zero constant polynomial: We know the degree of a non-zero constant polynomial is $0$ . So, the correct word for this field is "ZERO".

$8 .$ $4$ in $4 x + 3$ : We know that the constant term in front of a variable in a term is called it's coefficient. So, the correct word for this field is $" C O E F F I C I E N T "$ .

$9 .$ $x$ and $8$ in $x - 8$ : $x$ and $8$ are two terms in the expression $x - 8$ [The terms are separated by $(+)$ or $(-)$ signs or both in an algebraic expression]. So, the correct word for this field is $" T E R M S "$ .

Down
$2 .$ The highest power of variable: The highest power of variable(s) among the terms of an algebraic expression is called the degree of the expression. So, the correct word for this field is $" D E G R E E "$ .

$3 .$ $5$ is....... polynomial: The value of $5$ never changes. Hence, $5$ is a constant polynomial. So, the correct word for this field is $" C O N S T A N T "$ .

$4 .$ A polynomial that has two terms: The polynomial with two terms is called a binomial. So, the correct word for this field is $" B I N O M I A L "$ .

$6 .$ A polynomial of degree one: A polynomial with degree one is called a linear polynomial. So, the correct word for this field is $" L I N E A R "$ .

$9 .$ Degree of $5 t^{2} - 7 t + 1$ : The degree of the term $5 t^{2}$ is $0 + 2 = 2$ , the degree of $- 7 t$ is $0 + 1 = 1$ and the degree of the term $1$ is $0$ . The number $2$ is the highest among the numbers $2, 1$ and $0$ . Hence, the degree of the polynomial $5 t^{2} - 7 t + 1$ is $2$ . So, the correct word for this field is $" T W O "$ .

Combining all the words, the crossword is filled as follows:

Rashmi Bhartiya Solutions for Chapter: Algebraic Expression, Exercise 4: Worksheet - 69

Rashmi Bhartiya Mathematics Solutions for Exercise - Rashmi Bhartiya Solutions for Chapter: Algebraic Expression, Exercise 4: Worksheet - 69

Questions from Rashmi Bhartiya Solutions for Chapter: Algebraic Expression, Exercise 4: Worksheet - 69 with Hints & Solutions

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