Find p(1) and p(10) in the following polynomials,i. p(x) = 2x + 5 ii.

1.	Find p(1) and p(10) in the following polynomials,i. p(x) = 2x + 5 ii. p(x) = 3x2 + 6x + 1 iii. p(x) = 4x3 + 2x2 + 3x + 7
Answer» i. p(x) = 2x + 5 p(1) = 2 × 1 + 5 = 2 + 5 = 7 p(10) = 2 × 10 + 5 = 20 + 5 = 25 ii. p(x) = 3x² + 6x + 1 p(1) = 3 × 12 + 6 x 1 + 1 = 3 + 6 + 1 = 10 p(10) = 3 × 10² + 6 × 10 + 1 = 300 + 60 + 1 = 361 iii. p(x) = 4x³ + 2x² + 3x + 7 p(1) = 4 × 13 + 2 × 12 + 3 × 1 + 7 = 4 + 2 + 3 + 7 = 16 p(10) = 4 × 10³ + 2 × 10² + 3 × 10 + 7 = 4000 + 200 + 30 + 7 = 4237

Find p(1) and p(10) in the following polynomials,i. p(x) = 2x + 5 ii. p(x) = 3x2 + 6x + 1 iii. p(x) = 4x3 + 2x2 + 3x + 7

Answer»

i. p(x) = 2x + 5

p(1) = 2 × 1 + 5 = 2 + 5 = 7

p(10) = 2 × 10 + 5 = 20 + 5 = 25

ii. p(x) = 3x² + 6x + 1

p(1) = 3 × 12 + 6 x 1 + 1

= 3 + 6 + 1 = 10

p(10) = 3 × 10² + 6 × 10 + 1 = 300 + 60 + 1 = 361

iii. p(x) = 4x³ + 2x² + 3x + 7

p(1) = 4 × 13 + 2 × 12 + 3 × 1 + 7

= 4 + 2 + 3 + 7 = 16

p(10) = 4 × 10³ + 2 × 10² + 3 × 10 + 7

= 4000 + 200 + 30 + 7 = 4237