Zero of the polynomial fx-3 x-7 isa 73b -37c -73d -7

Given: f(x) = 3x nbsp;+ 7 Zero of a polynomial is the value of nbsp;x nbsp;at which the polynomial becomes zero. fx=0 #8658;3x+7=0 #8658;3x= 7 #86 ...

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Standard IX

Mathematics

Zeroes of a Polynomial

Zero of the p...

Question

Zero of the polynomial f(x) = 3x + 7 is
(a) $\frac{7}{3}$
(b) $\frac{- 3}{7}$
(c) $- \frac{7}{3}$
(d) –7

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Solution

Given: f(x) = 3x + 7

Zero of a polynomial is the value of x at which the polynomial becomes zero.

$f (x) = 0 \Rightarrow 3 x + 7 = 0 \Rightarrow 3 x = - 7 \Rightarrow x = - \frac{7}{3}$

Therefore, zero of the polynomial f(x) = 3x + 7 is $- \frac{7}{3}$ .

Hence, the correct option is (c).

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Similar questions

Q. If α, β are the zeros of the polynomial p(x) = 4x² + 3x + 7, then

\frac{1}{α} + \frac{1}{β}

is equal to

(a)

\frac{7}{3}

(b)

- \frac{7}{3}

(c)

\frac{3}{7}

(d)

- \frac{3}{7}

Q. Degree of the polynomial f(x) = 4x⁴ + 0x³+ 0x⁵ + 5x + 7 is
(a) 4
(b) 5
(c) 3
(d) 7

If $α$ , $β$ are the zeros of the quadratic polynomial $f (x) = 2 x^{2} - 5 x + 7$ . find a polynomial whose zeros are $2 α + 3 β$ and $3 α + 2 β$

Q. If α and β are the roots of

4 x^{2} + 3 x + 7 = 0

, then the value of

\frac{1}{α} + \frac{1}{β}

is
(a)

\frac{4}{7}

(b)

- \frac{3}{7}

(c)

\frac{3}{7}

(d)

- \frac{3}{4}

Q. Find the sum and product of zeros of quadratic polynomial

3 x^{2} - 4 x + 7

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Zero of the polynomial f(x) = 3x + 7 is (a) 73 (b) -37 (c) -73 (d) –7

Given: f(x) = 3x + 7 Zero of a polynomial is the value of x at which the polynomial becomes zero. fx=0⇒3x+7=0⇒3x=-7⇒x=-73 Therefore, zero of the polynomial f(x) = 3x + 7 is -73. Hence, the correct option is (c).

Zero of the polynomial f(x) = 3x + 7 is
(a) $\frac{7}{3}$
(b) $\frac{- 3}{7}$
(c) $- \frac{7}{3}$
(d) –7

Given: f(x) = 3x + 7

Zero of a polynomial is the value of x at which the polynomial becomes zero.

$f (x) = 0 \Rightarrow 3 x + 7 = 0 \Rightarrow 3 x = - 7 \Rightarrow x = - \frac{7}{3}$

Therefore, zero of the polynomial f(x) = 3x + 7 is $- \frac{7}{3}$ .

Hence, the correct option is (c).