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Find the product of the following pairs of monomials. (i) 4, 7p (ii) – 4p, 7p (iii) -4p, 7pq (iv) 4p3, -3p (v) 4p, 0

Answer: Polynomials are algebraic expressions that consist of variables and coefficients. Polynomials are of 3 different types and are... View Article

Find the product: (-10/3 pq³) × (6/5 p³q)

Answer: -4p4q4 ⇒ ⇒ ⇒ ⇒ ⇒ -4 × p4 × q4 ⇒ -4p4q4 (-10pq3/3) × (6p3q/5) = -4p4q4... View Article

Find the product: (2/3 xy) × (-9/10 x²y²)

Answer: (-3/5 x3y3) ⇒ ⇒ ⇒ ⇒ ⇒ (2xy/3) × (-9x2y2/10) = (-3/5 x3y3)... View Article

Find the product: (5 – 2x) (3 + x)

Answer: 15 - x - 2x2 (5 - 2x) × (3 + x) ⇒ 5 (3 + x) - 2x (3 + x) ⇒ 15 + 5x - 6x - 2x2 ⇒ 15 - x - 2x2 (5 - 2x)(3 + x) = 15... View Article

Find the product: (a² + b) (a + b²)

Answer: a3 + b3 + a2b2 + ab (a2+ b) × (a + b2) ⇒ a2 × (a + b2) + b × (a + b2) ⇒ (a2 × a) + (a2 × b2) +... View Article

Find the product: (p² – q²) (2p + q)

Answer: 2p3 - q3 + p2q - 2pq2 (p2 - q2) × (2p + q) ⇒ p2 × (2p + q) - q2 × (2p + q) ⇒ (p2 × 2p) + (p2 ×... View Article

Find the product: (x + 7y) (7x – y)

Answer: 7x2 - 7y2 + 48xy (x + 7y) (7x - y) ⇒ x(7x - y) + 7y (7x - y) ⇒ 7x2 - xy + 49xy - 7y2 ⇒ 7x2 - 7y2 + 48xy (x + 7y) (7x -... View Article

Find the product: (x) × (x²) × (x³) × (x³)

Answer: x10 We know that xa × xb × xc = x(a + b + c) = x (1 + 2 + 3 + 4) = x10 (x) x (x2) x (x3) x (x4) = x10... View Article

Find the product: a² x (2a²²) x (4a²⁶)

Answer: 8a50 a2 x (2a22) x (4a26) = a2 x 2 x a22 x 4 x a26 = (2 × 4) x (a2 × a22 × a26) We know that xa × xb × xc =... View Article

Find the rational numbers between -2/5 and ½.

Answer: Rational numbers are represented in p/q form where q is not equal to zero. It is also a type of real number. Any fraction with non-zero... View Article

Find the remainder when x³+ 3x² + 3x + 1 is divided by 5 + 2x

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

Find the remainder when x³ + 3x² + 3x + 1 is divided by x

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

Find the remainder when x³ + 3x² + 3x + 1 is divided by x -1/2

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

Find the remainder when x³ + 3x² + 3x + 1 is divided by 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 or... View Article

Find the remainder when x³ + 3x² + 3x + 1 is divided by x + π

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

Find the remainder when x3−ax2+6x−a is divided by x-a.

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

Find the value of k, if x – 1 is a factor of p(x) in the following case: p(x) = 2x² + kx + √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

Find the value of k, if x–1 is a factor of p(x) in the following case: p(x) = kx² – √2x + 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

Find the value of k, if x–1 is a factor of p(x) in the following case: p(x) = x² + x + k

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

Find the value of k, if x–1 is a factor of p(x) in the following case: p(x)=kx2–3x+k

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

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