The zeroes of the polynomial P x - ax 2- bx - c are 1 and 2Find the value of a - b and c-A- a-3- b-1- c-1B- a-1- b-3- c-2C- a-1- b-3- c-1D- a -1- b -3- c -2

The correct option is D a = 1 , b = 3, c = 2 Given the zeroes of P(x) are 1 and 2. P(x) = (x 1)(x 2) ax^2 + bx + c = x^2 3x + 2 a = 1, b = 3, and c = 2 ...

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Standard X

Mathematics

Quadratic Formula

The zeroes of...

Question

The zeroes of the polynomial
$P (x) = a x^{2} + b x + c$ are 1 and 2.
Find the value of $a, b and c$ .

a = 1, b = -3 , c = 1

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a = 1 , b = -3, c = 2

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a = 3, b = -1, c = 1

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a = -1 , b = -3, c = -2

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Solution

The correct option is B
a = 1 , b = -3, c = 2

Given the zeroes of $P (x)$ are 1 and 2.
$⟹ P (x) = (x - 1) (x - 2)$
$⟹ a x^{2} + b x + c = x^{2} - 3 x + 2$
$⟹ a = 1, b = - 3, and c = 2$

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The zeroes of the polynomial P(x)=ax2+bx+c are 1 and 2. Find the value of a, b and c.

The correct option is B a = 1 , b = -3, c = 2 Given the zeroes of P(x) are 1 and 2. ⟹P(x)=(x−1)(x−2) ⟹ax2+bx+c=x2−3x+2 ⟹a=1, b=−3, and c=2

The zeroes of the polynomial
$P (x) = a x^{2} + b x + c$ are 1 and 2.
Find the value of $a, b and c$ .

The correct option is B
a = 1 , b = -3, c = 2

Given the zeroes of $P (x)$ are 1 and 2.
$⟹ P (x) = (x - 1) (x - 2)$
$⟹ a x^{2} + b x + c = x^{2} - 3 x + 2$
$⟹ a = 1, b = - 3, and c = 2$