What polynomial added to 2 x 2-3 gives the result as 3 x 2-4 - A- x2-1B- x2-1C- 5 x 2-7D- x 2-1

The correct option is D x^2 1Let the polynomial be nbsp;p(x) nbsp;p(x)+(2x^3 3)=3x^2 4 ∴ p(x)=3x^2 4 (2x^2 3) =3x^2 4 2x^2+3 p(x)=x^2 1 ...

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Byju's Answer

Standard IX

Mathematics

Subtraction of Polynomials

What polynomi...

Question

What polynomial added to $2 x^{2} - 3$ gives the result as $3 x^{2} - 4$ ?

x^{2} + 1

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x^{2} + 1

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5 x^{2} - 7

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x^{2} - 1

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Solution

The correct option is D $x^{2} - 1$
Let the polynomial be $p (x)$
$p (x) + (2 x^{3} - 3) = 3 x^{2} - 4$
$∴ p (x) = 3 x^{2} - 4 - (2 x^{2} - 3)$
$= 3 x^{2} - 4 - 2 x^{2} + 3$
$p (x) = x^{2} - 1$

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[4 MARKS]

what must be added to the polynomial $f (x) = 2 x^{3} - 2 x^{2} + x - 1$ so that the resulting polynomial is exactly divisible by $x^{2} + 2 x - 3$ ?

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What polynomial added to 2x2–3 gives the result as 3x2−4?​

The correct option is D x2−1Let the polynomial be p(x) p(x)+(2x3−3)=3x2−4 ∴p(x)=3x2−4−(2x2−3) =3x2−4−2x2+3 p(x)=x2−1

What polynomial added to $2 x^{2} - 3$ gives the result as $3 x^{2} - 4$ ?

The correct option is D $x^{2} - 1$
Let the polynomial be $p (x)$
$p (x) + (2 x^{3} - 3) = 3 x^{2} - 4$
$∴ p (x) = 3 x^{2} - 4 - (2 x^{2} - 3)$
$= 3 x^{2} - 4 - 2 x^{2} + 3$
$p (x) = x^{2} - 1$