Two mark example problems III — task. Mathematics State Board, Class 9.

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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Answer variants:

the coefficients of odd and even powers of

$x$ is equal to

$0$

the coefficients of equal powers is not equal to

$0$

$-125$

$2^3 xy^2$

$3x^2 - 11x + 40$

$2xy$

even

$- 7 - 7 = - 14$

$7 + 7 = 14$

the coefficients of odd powers is not equal to

$0$

$1 + 13 = 14$

odd

1. Prove that

$(x + 1)$ is a factor of

$x^3 + 7x^2 + 13x + 7$ .

Answer:

Sum of coefficients of

powers of

$x$ including the constant

$=$

Sum of coefficients of

powers of

$x =$

Since

, then

$(x + 1)$ is a factor of

$x^3 + 7x^2 + 13x + 7$ .

Hence, we proved.

2. Find the GCD of

$16x^3y^2$ ,

$24xy^3z$ .

Answer:

GCD

$=$

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4. Two mark example problems III

Exercise condition: