Write the number of terms in each of the following polynomials- i 5x2-3- ax-ii-ax - 4-7-iii-ax-by-y - z-iv-23-a - b - 2

(i) 5x^2+3× ax=5x^2+3ax ∴ The number of terms in this polynomial =2 Ans. (ii) ax ÷ 4 7=ax/4 7 ∴ The number of terms in this polynomial =2 Ans. (iii) ...

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Byju's Answer

Standard VIII

Mathematics

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Question

Write the number of terms in each of the following polynomials.

(i) $5 x^{2} + 3 \times a x (i i) a x \div 4 - 7 (i i i) a x - b y + y \times z (i v) 23 + a \times b \div 2$

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Solution

$(i) 5 x^{2} + 3 \times a x = 5 x^{2} + 3 a x ∴ The number of terms in this polynomial = 2 A n s . (i i) a x \div 4 - 7 = \frac{a x}{4} - 7 ∴ The number of terms in this polynomial = 2 A n s . (i i i) a x - b y + y \times z = a x - b y + y z ∴ The number of terms in this polynomial = 3 A n s . (i v) 23 + a \times b \div 2 = 23 + \frac{a b}{2} ∴ The number of terms in this polynomial = 2 A n s .$

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Q. For each of the following differential equations verify that the accompanying function is a solution:

Differential equation	Function
(i) $x \frac{d y}{d x} = y$	y = ax
(ii) $x + y \frac{d y}{d x} = 0$	$y = \pm \sqrt{a^{2} - x^{2}}$
(iii) $x \frac{d y}{d x} + y = y^{2}$	$y = \frac{a}{x + a}$
(iv) $x^{3} \frac{d^{2} y}{d x^{2}} = 1$	$y = a x + b + \frac{1}{2 x}$
(v) $y = {(\frac{d y}{d x})}^{2}$	$y = \frac{1}{4} {(x \pm a)}^{2}$