Name: Rational Expressions: Operations and Manipulations
Uploaded: 2019-07-19
Duration: 12 min 15 s
Description: In this video, we will learn the concept of multiplying, simplifying and cancelling the common factors with detailed examples. View the video now.

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:

Important Questions on Algebraic Expression

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