Question

find the zeroes of the polynomial p(x)=(x+1)(x+3)
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Answer 1

Answer:

Minus one ans minus three

Answer 2

Question :-

• Find the zeroes of the polynomial p(x)=(x+1)(x+3)

Answer

Given :-

• A polynomial p(x)=(x+1)(x+3)

To find :-

• Zeroes of the polynomial.

Concept used : -

Definition of Zeroes of a polynomial:-

• These are the values of x which make polynomial equal to zero; hence are called zeros of polynomial P(x). A number z is said to be a zero of a polynomial P(x) if and only if P(z) = 0.

Finding Zeroes of a Polynomial

• The zero of a polynomial is the value of the which polynomial gives zero. Thus, in order to find zeros of the polynomial, we simply equate polynomial to zero and find the possible values of variables.

• Let P(x) be a given polynomial. To find zeros, set this polynomial equal to zero. i.e. P(x) = 0.Now, this becomes a polynomial equation. Solve this equation and find all the possible values of variables by factorizing the polynomial equation.

Solution :-

Consider, p(x) = (x + 1)(x + 3)

To get the zeroes of p(x), put p(x) = 0

⇛ (x + 1)(x + 3) = 0

⇛ x + 1 = 0 or x + 3 = 0

⇛ x = - 1 or x = - 3.