Answers to Polynomial Expressions in Algebra
Q 1. Identify Terms, Coefficients and Degree of polynomials.
Answer: i. Terms:
a2 +
2a - 5
a2 ,
2a
and
5
ii. Coefficients:
a2 + 2a - 5
in 2a, coefficient is 2.
iii. Degree:
a2 +
2a - 5
in a2 Degree is 2.
Q. 2. Find out the Term, Coefficient and Degree of
following polynomial.
i.
7a2 + a
- 5
ii.
2x3 - 2x2 + x +
2
iii.
3z4 + z3 -
5z2 + z
- 6
iv.
y2 + y
- 7
i.
Term 7a2
, a,
5
Coefficient in
7a2,
7 is coefficient.
Degree 7a2 , 2
is degree
ii.
Term 2x3 , 2x2
, x, 2
Coefficient: in 2x3,
2, and in 2x2, 2 is coefficient.
Degree: 2x3 , 3
is degree
iii.
Terms 3z4 , z3 , 5z2, z,
6
Coefficient: in 3z4,
3 and in 5z2, 5 is coefficient.
Degree: 3x4 , 4
is degree
iv.
Term y2, y, 7
Coefficient: No coefficient in this expression.
Degree y2 2
is degree
Q.3 Degree 3.
Q 4. No, fractional exponent
Q 5. Binomial A polynomial with two terms.
Q 6. Monomial. A polynomial with one term. Degree 4
Q 7. 2x + 3x − x.
= 5x
– x
=
4x
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