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CH 2. Polynomials 1. If x + y = 12 and xy = 32, Find the value of x2 + y 2. If 3x + 2y = 12 and xy = 6, find the value of 9x2 + 3. Write the following cubes in the expanded form: (i) (3a + 4b)3 (ii) (5p - 3q) 4. If a +b+c= 15 and a2 + b2 + c2 = 83, find the va 5. Factorize: (i) 6ab-b2 + 12ac - 2bc (ii) 9(2a - b)2 -- 4(2a -- b) - 13 6. If x3 + ax? - bx + 10 is divisible by x2-3x+2, fir

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Similar Questions

Q1

I. If

x - y = x y = 1 - x - y,

then

x + y

is

\frac{5}{6}

II. The system of equations

3 x + 2 y = a

and

5 x + b y = 4

has infinitely many solutions for

x

and

y

, then

a = 4

,

b = 3

III. If

\frac{x}{a} + \frac{y}{b} = 2

and

a x - b y = a^{2} - b^{2}

, then

x = a, y = b

Which is true?

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Q2

Write 'T' for true and 'F' for false

(i) In −x, the constant term is −1.
(ii) The coeffiecient of x in x² − 3x + 5 is 3.
(iii) (5x − 7) − (3x − 5) = 2x − 12.
(iv) (3x + 5y)(3x − 5y) = (9x² − 25y²).
(v) If a = 2 and b =

\frac{1}{2},

then the value of ab (a² + b²) is

4 \frac{1}{4}

.

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Q3

Add the following algebraic expressions:
(i)

2 x^{2} + 3 x + 5, 3 x^{2} - 4 x - 7

(ii)

x^{2} - 2 x - 3, x^{2} + 3 x + 1

(iii)

2 t^{2} + t - 4, 1 - 3 t - 5 t^{2}

(iv)

x y - y z, y z - x z, z x - x y

(v)

a^{2} + b^{2}, b^{2} + c^{2}, c^{2} + a^{2}, 2 a b + 2 b c + 2 c a

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Q4

11

Q11. If x² + y² = 13 and xy = 6, find the value of the following.

i . x + y ii. x – y

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Q5

If a= 2, b = − 2, find the value of:

(i) a²+ b² (ii) a² + ab +b² (iii) a² − b²

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