Question

Find the value of polynomial 12x^2-7x+1 when x=3

Answer 1

Heya !!!

X = 1/4

P(X) =>12X² - 7X +1

P(1/4) = 12 × ( 1/4)² - 7 × 1/4 + 1

=> 12 × 1/16 - 7/4 + 1

=> 3/4 - 7/4 + 1

=> 3 - 7 + 4 / 4

=> 7-7/4

=> 0/4

=> 0

Answer 2

Given:

• A quadratic polynomial is given.
• The polynomial is 12x²-7x +1 .

To Find:

• The value of polynomial at x = 3.

Answer:

Given polynomial to us is 12x²-7x+1 = p(x) [say]

We are supposed to find value of p(3).

Putting p = 3,

☞p(x) = 12x² - 7x +1.

☞p(3) = 12×(3)² - 7×3 + 1.

☞ p(3) = 12 × 9 - 21 + 1.

☞p(3) = 108 +1-21.

☞p(3) =109 - 21.

☞p(3) = 88.

Hence the value of p(3) is 88.

Some more related information.

Classification of polynomials :

We can classify it on two types,

• On the basis of number of terms.
• On the basis of degree of polynomial.

(i) On the basis of number of terms:

Most common used are ,

☞ Monomial :

• A polynomial having only one term .
• Ex - 3x² .

☞ Binomial :

• A polynomial having two terms .
• Ex - 2x²+3.

☞ Trinomial :

• A polynomial having three terms.
• Ex - 3x²+5y-3

Similarly polynomials of 4 terms , 5 terms can be also defined.

(ii) On the basis of degree of polynomial:

Most common used are ,

☞ Linear polynomial:

• The polynomial of degree 1 .
• General form - ax+b.
• Ex - 2x +6.

☞ Quadratic polynomial:

• The polynomial of degree 2 .
• General form - ax²+bx+c.
• Ex - 2x² +6x+3.

☞ Cubic polynomial:

• The polynomial of degree 3 .
• General form - ax³+bx²+cx+d.
• Ex - 2x³+6x²+3x+1