Question

Que.21- For the following polynomial, find the values of p(-1) andp(2),
p(x) = 4x 3 + 2x2 – 3x + 2​

Answer 1

Answer:

In an algebraic expression, if the powers of the variables are whole numbers then the algebraic expression is a polynomial.

(i) y+1/y = y+y-1

Here, one of the powers of y is −1, which is not a whole number. So, y + 1/y is not a polynomial.

(ii) 2 - 5 √x=2-5x1/2

Here, the power of x is 1/2, which is not a whole number. So, 2 - 5 √x is not a polynomial.

(iii) x2 + 7x + 9

Here, the powers of the variable x are 2, 1 and 0, which are whole numbers. So, x2 + 7x + 9 is a polynomial.

(iv) 2m−2 + 7m − 5

Here, one of the powers of m is −2, which is not a whole number. So, 2m−2 + 7m − 5 is not a polynomial.

(v) 10 = 10 × 1 = 10x0

Here, the power of x is 0, which is a whole numbers. So, 10 is a polynomial (or constant polynomial).

Answer 2

p(x)=4x³+2x²-3x+2

Step-by-step explanation:

now, we have to put the value of p

p(-1)= 4(-1)³+2(-1)²-3(-1)+2

p(-1)= -4+2+3+2

p(-1)= 3

p(2)= 4(2)³+2(2)²-3(2)+2

p(2)= 32+8-6+2

p(2)= 36

hence, the value of p(-1) is 3 and p(2) is 36

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