Question

Find the zero of polynomial of p(x)=2x+7

Answer 1

p(x) = 2x+7

= 2x = -7

x = -7/2

zero of the polynomial = -7/2

p( -7/2) = 2 ( -7/2 ) +7

= -7+7=0

Answer 2

Answer:

p(x) = 2x + 7

Zero of the polynomial is a number which when substituted in the equation will make its value zero.

To find the zero of the polynomial, one should equate the equation by zero.

➸ 2x + 7 = 0

Then, it is solved.

➸ 2x = -7

➸ x = -7/2

Now, let is check whether the answer is correct.

➸ 2x + 7

➸ 2(-7/2) + 7

➸ - 7 + 7

➸ 0

Hence, -7/2 is the zero of the polynomial.

ADDITIONAL INFORMATION –

• A linear equation has one zero.
• A quadratic equation has two zeros.
• A cubic equation has three zeros.
• That is, the number of zeros increases as the degree of the polynomial increase.
• The degree of the polynomial is said to be the highest power of a term in the equation.