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case /data -based (4 Marks)

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Question 14 Marks
Riya wrote an algebraic expression.
Q.1. Which of the following terms has 6 as the coefficient?
(a) s $\quad$ (b) $s^2$ $\quad$ (c) t $\quad$ (d) $t^3$
Q.2.  Write the factors of $56 t^3$.
Q.3. What is the type of the algebraic expression written by Riya?
(a) Monomial $\quad$ (b) Binomial $\quad$ (c) Trinomial $\quad$ (d) Polynomial
Q.4. Riya said, "There are two like terms in the algebraic expression". Is Riya correct? Given reason.
Answer
1. (c) In the given expression
$56 t^3+12 t^2+6 t+16 s^2+2 s+106$, the term which contains 6 is 6t. Therefore, 6 is the coefficient of t.
2. Factors of $56 t^3$ are $56, t, t$ and $t$.
3. (d) Since, the given expression has more than three variables. Thus, it is called polynomial.
4. In the given expression, there are not any term which contains same algebraic expression.
Hence, there are not any like term in the given algebraic expression.
Hence, Riya is not correct.
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case /data -based (4 Marks) - MATHS STD 7 Questions - Vidyadip