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Solving Polynomials and identifying degree of polynomials.

From the given polynomials, identify the polynomials of degree one.

a. 11y2 - 5 - 4y
b. (3x2)1/2 + 12
c. 7 - (12)1/2x
d. 2x + 13x2
e. 5x + 7y + 8
f. (12)1x1
g. x3 + 2x - 10
h. 3x + 4x - 4

Solve the following:
i. 2x = -3x + 9
ii. 3x/5 = -6
iii. y/4 + 2 = 7
iv. 16 = -2x/3
v. Find f(1) for f(x) = 2x3 - 3x2 + x - 21
vi. A function gives the value of C as 2 × (22/7) × r. Find C when r = 7 cm and r = 91 cm.

Solution Preview

Dear student,

Please find the solution in the attached file.

Thanks,
Kavita Narang

As we know that "the exponent of the term with the highest exponent is the degree of the polynomial."
Degree one means that the polynomial in which the highest exponent is of degree one.
Here we have to find the polynomial having degree one. The polynomials having degree one are marked in yellow
a) 11y2 - 5 - 4y
The highest degree of y is 2. Thus, Degree of this polynomial is 2.
b) (3x2)1/2 + 12
This can be written as (3x2*1/2 + 12)
 3x + 12
Now, the highest degree of x is 1.Thus, the polynomial is of degree 1.
c) 7 - (12)1/2 x
This ...

Solution Summary

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