1 Mark Question

Question 511 Mark

Write the index form of the polynomial using variable x from its coefficient form.
i. $(3,-2,0,7,18)$
ii. $(6,1,0,7)$
iii. $(4,5,-3,0)$

Answer

i. Number of coefficients $=5$
$\therefore$ Degree $=5-1=4$
$\therefore$ Index form $=3 x^4-2 x^3+0 x^2+7 x+18 i i$. Number of coefficients $=4$
$\therefore$ Degree $=4-1=3$
$\therefore$ Index form $=6 x^3+x^2+0 x+7$
iii. Number of coefficients $=4$
$\therefore$ Degree $=4-1=3$
$\therefore$ Index form $=4 x^3+5 x^2-3 x+0$

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Question 521 Mark

Write the following polynomial in coefficient form.
i. $x^4+16$
ii. $m^5+2 m^2+3 m+15$

Answer

i. $x^4+16$
Index form $=x^4+0 x^3+0 x^2+0 x+16$
$\therefore$ Coefficient form of the polynomial $=(1,0,0,0,16)$ ii. $m ^5+2 m^2+3 m+15$
Index form $=m^5+0 m^4+0 m^3+2 m^2+3 m+15$
$\therefore$ Coefficient form of the polynomial $=(1,0,0,2,3,15)$

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Question 531 Mark

Write the following polynomials in standard form.
i. $4 x^2+7 x^4-x^3-x+9$
ii. $p+2 p^3+10 p^2+5 p^4-8$

Answer

i. $7 x^4-x^3+4 x^2-x+9$
ii. $5 p^4+2 p^3+10 p^2+p-8$

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Maths 1 Mark Question