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Find the value of following polynomial at m = 1, n = -1 and p = 2: m² + n² + p²

Solution:

Given, the polynomial is m² + n² + p²

We have to find the value of the polynomial at m = 1, n = -1 and p = 2.

m² = (1)² = 1

n² = (-1)² = 1

p² = (2)² = 4

Now, m² + n² + p² = 1 + 1 + 4

= 2 + 4

= 6

Therefore, m² + n² + p² = 6

✦ Try This: Find the value of following polynomial at m = -2, n = -1 and p = 2: m² + n² + p²

Given, the polynomial is m² + n² + p²

We have to find the value of the polynomial at m = -2, n = -1 and p = 2.

m² = (-2)² = 4

n² = (-1)² = 1

p² = (2)² = 4

Now, m² + n² + p² = 4 + 1 + 4

= 5 + 4

= 9

Therefore, m² + n² + p² = 9

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 67 (b)

Summary:

The value of the polynomial m² + n² + p² at m = 1, n = -1 and p = 2 is 6

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