If x -2 is a factor of p x - ax 2- bx -3- which of the following statements is true- A- a-b-3B- 2 a-4 b-3C- 4 a-2 b-3D- 2 a-4 b-3

The correct option is C 4a + 2b = 3∵ x 2 is factor of p(x) = nbsp;ax^2 + bx + 3, We have, p(2) = 0 ⇒ a(2^2) + b(2) + 3 = 0 ⇒ a(4) + b(2) + 3 = 0 ⇒ 4a + 2b ...

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Byju's Answer

Standard IX

Mathematics

Value of a polynomial

If x -2 is a ...

Question

If $x - 2$ is a factor of $p (x) = a x^{2} + b x + 3$ , which of the following statements is true?

a + b = -3

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2a + 4b = 3

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4a + 2b = -3

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2a + 4b = -3

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Solution

The correct option is C 4a + 2b = -3
$∵$ $x - 2$ is factor of $p (x) = a x^{2} + b x + 3$ ,
We have, $p (2) = 0$

$\Rightarrow$ $a (2^{2}) + b (2) + 3 = 0$
$\Rightarrow$ $a (4) + b (2) + 3 = 0$
$\Rightarrow$ $4 a + 2 b = - 3$

$∴$ $4 a + 2 b = - 3$ is the required answer.

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If x−2 is a factor of p(x)=ax2+bx+3, which of the following statements is true?

The correct option is C 4a + 2b = -3∵ x−2 is factor of p(x)=ax2+bx+3, We have, p(2)=0 ⇒ a(22)+b(2)+3=0 ⇒ a(4)+b(2)+3=0 ⇒ 4a+2b=−3 ∴ 4a+2b=−3 is the required answer.

If $x - 2$ is a factor of $p (x) = a x^{2} + b x + 3$ , which of the following statements is true?

The correct option is C 4a + 2b = -3
$∵$ $x - 2$ is factor of $p (x) = a x^{2} + b x + 3$ ,
We have, $p (2) = 0$

$\Rightarrow$ $a (2^{2}) + b (2) + 3 = 0$
$\Rightarrow$ $a (4) + b (2) + 3 = 0$
$\Rightarrow$ $4 a + 2 b = - 3$

$∴$ $4 a + 2 b = - 3$ is the required answer.