Question

find the degree of polynomial p(y)=(x+7)(x-7)​

Answer 1

EXPLANATION.

Polynomial :

⇒ p(x) = (x + 7)(x - 7).

As we know that,

We can write equation as,

⇒ x(x - 7) + 7(x - 7).

⇒ x² - 7x + 7x - 49.

⇒ x² - 49.

As we can see that,

The highest degree of terms = 2.

Degree of polynomial = 2.

                                                                                                                   

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) Roots are real and unequal, if b² - 4ac > 0.

(2) Roots are rational and different, if b² - 4ac is a perfect square.

(3) Roots are real and equal, if b² - 4ac = 0.

(4) If D < 0 Roots are imaginary and unequal Or complex conjugate.

Answer 2

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EXPLANATION.

Polynomial:

P(x) = (x + 7)(x-7).

As we know that,

We can write equation as,

→ x² - 49.

As we can see that,

The highest degree of terms = 2.

Degree of polynomial = 2.

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) Roots are real and unequal, if b² - 4ac > O.

(2) Roots are rational and different,

4ac is a perfect square.

if b² -

(3) Roots are real and equal, if b² - 4ac = O.

(4) If D <0 Roots are imaginary and unequal or complex conjugate.