Archives

Use suitable identities to find the following product: (x + 4)(x + 10)

Answer: To find the product of (x + 4)(x + 10) We know that (x + a)(x + b) = x2 + (a + b)x + ab In the expression (x + 4)(x + 10) a = 4 b = +10... View Article

Use suitable identities to find the following product: (y² + 3/2)(y² – 3/2)

Answer: Given (y2 + 3/2)(y2 - 3/2) Using the identity, (x+y)(x–y) = x2- y 2 Here x = y2 y = 3/2 We get, (y2 + 3/2)(y2 - 3/2) ⇒ (y2)2... View Article

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = 2x³ + x² – 2x – 1, g(x) = x + 1

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = x³ – 4x² + x + 6, g(x) = x–3

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest or... View Article

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = x³ + 3x² + 3x + 1, g(x) = x + 2

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Use the identity (x + a) (x + b) = x² + (a + b) x + ab to find the following products. (i) (2a² + 9) (2a² + 5) (ii) (xyz – 4) (xyz – 2)

Answer: (2a2+ 9) × (2a2+ 5) = 2a2 × (2a2+ 5) + 9 × (2a2+ 5) = 4a4 + 10a2 + 18a2 + 45 = 4a4 + 28a2 + 45 (2a2+ 9)(2a2+ 5) = =... View Article

Use the identity (x + a) (x + b) = x² + (a + b) x + ab to find the following products. (i) (4x + 5) (4x – 1) (ii) (2x + 5y) (2x + 3y)

Answer: (4x + 5) × (4x - 1) = 4x × (4x - 1) + 5 × (4x - 1) = 16x2 - 4x + 20x - 5 = 16x2 + 16x - 5 (4x + 5)(4x - 1) = 16x2 +... View Article

Use the identity (x + a) (x + b) = x² + (a + b) x + ab to find the following products. (i) (x + 3) (x + 7) (ii) (4x + 5) (4x + 1) (iii) (4x – 5) (4x – 1)

Answer: (x + 3) × (x + 7) = x × (x + 7) + 3 × (x + 7) = x2 + 7x + 3x + 21 = x2 + (3 + 7)x + 21 = x2 + 10x + 21 (x + 3)(x +... View Article

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Archives

Use suitable identities to find the following product: (x + 4)(x + 10)

Use suitable identities to find the following product: (y² + 3/2)(y² – 3/2)

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = 2x³ + x² – 2x – 1, g(x) = x + 1

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = x³ – 4x² + x + 6, g(x) = x–3

Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: p(x) = x³ + 3x² + 3x + 1, g(x) = x + 2

Use the identity (x + a) (x + b) = x² + (a + b) x + ab to find the following products. (i) (2a² + 9) (2a² + 5) (ii) (xyz – 4) (xyz – 2)

Use the identity (x + a) (x + b) = x² + (a + b) x + ab to find the following products. (i) (4x + 5) (4x – 1) (ii) (2x + 5y) (2x + 3y)

Use the identity (x + a) (x + b) = x² + (a + b) x + ab to find the following products. (i) (x + 3) (x + 7) (ii) (4x + 5) (4x + 1) (iii) (4x – 5) (4x – 1)

Using (x + a) (x + b) = x² + (a + b) x + ab, find (103 x 104)

Using (x + a) (x + b) = x² + (a + b) x + ab, find (5.1 x 5.2)

Using (x + a) (x + b) = x² + (a + b) x + ab, find 103 x 98

Using (x + a) (x + b) = x² + (a + b) x + ab, find 9.7 x 9.8

Using a² – b² = (a + b)(a – b), find (i) 153² – 147² (ii) 12.1² – 7.9²

Using a² – b² = (a + b)(a – b), find (i) 51² – 49² (ii) (1.02)² – (0.98)²

Using appropriate properties find: -2/3 × 3/5 + 5/2 – 3/5 × 1/6

Using appropriate properties find: 2/5 × (- 3/7) – 1/6 × 3/2 + 1/14 × 2/5

Using identities, evaluate 10.5 x 9.5

Using identities, evaluate 102²

Using identities, evaluate 297 x 303

Using identities, evaluate 5.2²