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- Question 6 & 7, Review Exercise
- ====== Question 6 & 7, Review Exercise ====== Solutions of Question 6 & 7 of Review Exercise of Unit 05: Polynomials. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 6===== Find the value of ' $k$ ' so that the rema... \[ 48 + k = 0. \] Thus, \[ k = -48. \] =====Question 7===== Suppose that the quotient upon dividing on
- Question 2 and 3, Exercise 5.1
- ====== Question 2 and 3, Exercise 5.1 ====== Solutions of Question 2 and 3 of Exercise 5.1 of Unit 05: Polynomials. This is... ederal Textbook Board, Islamabad, Pakistan. ====Question 2==== Show that $x-3$ is a factor of $x^{3}-2 x^{... gn*} Hence, $x-3$ is factor of $p(x)$. GOOD =====Question 3===== Decide whether $x-3$ is a factor of $x^{3}
- Question 4 and 5, Exercise 5.1
- ====== Question 4 and 5, Exercise 5.1 ====== Solutions of Question 4 and 5 of Exercise 5.1 of Unit 05: Polynomials. This is... deral Textbook Board, Islamabad, Pakistan. =====Question 4===== If $4 y^{3}-4 y^{2}+10+2 y$ is completely ... n find other factor. ** Solution. ** =====Question 5===== Find the value of ' $q$ ' if $x^{3}+q x^{2
- Question 6 and 7, Exercise 5.1
- ====== Question 6 and 7, Exercise 5.1 ====== Solutions of Question 6 and 7 of Exercise 5.1 of Unit 05: Polynomials. This is... deral Textbook Board, Islamabad, Pakistan. =====Question 6===== Find the value of ' $m$ ' in the polynomia... Hence, the value of \( m \) is 6. GOOD =====Question 7===== Check whether 1 and -2 are the zeros of $x
- Question 8 and 9, Exercise 5.1
- ====== Question 8 and 9, Exercise 5.1 ====== Solutions of Question 8 and 9 of Exercise 5.1 of Unit 05: Polynomials. This is... deral Textbook Board, Islamabad, Pakistan. =====Question 8===== Find zeros of the polynomial $2 x^{3}+3 x^... $ are the roots of given polynomial. GOOD =====Question 9===== Express $f(x)=x^{3}-x^{2}-14 x+11$ in the
- Question 3 and 4, Exercise 5.2
- ====== Question 3 and 4, Exercise 5.2 ====== Solutions of Question 3 and 4 of Exercise 5.2 of Unit 05: Polynomials. This is... deral Textbook Board, Islamabad, Pakistan. =====Question 3===== Factorize by using factor theorem: $2 x^{3... ion set is $$f(x)=(x + 2)(2x - 3)(x + 3).$$ =====Question 4===== Factorize by using factor theorem: $3 x^{3
- Question 5 and 6, Exercise 5.2
- ;====== Question 5 and 6, Exercise 5.2 ====== Solutions of Question 5 and 6 of Exercise 5.2 of Unit 05: Polynomials. This is... deral Textbook Board, Islamabad, Pakistan. =====Question 5===== Factorize by using factor theorem: $t^{3}+... t) &= (t - 1)(t^{2} + 2t + 5). \end{align*} =====Question 6===== If $(x-2)$ is one of the factor of $2 x^{3
- Question 2 & 3, Review Exercise
- ====== Question 2 & 3, Review Exercise ====== Solutions of Question 2 & 3 of Review Exercise of Unit 05: Polynomials. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 2===== $\left(64 y^{3}-8\right) \div(4 y-2) \quad... y - 2}\\ & = 16y^{2} + 8y + 4 .\end{align*} =====Question 3===== $\left(125 y^{3}-8\right) \div(5 y-2)$ **
- Question 4 & 5, Review Exercise
- ====== Question 4 & 5, Review Exercise ====== Solutions of Question 4 & 5 of Review Exercise of Unit 05: Polynomials. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 4===== Is $3 y-2$ a factor of $6 y^{3}-y^{2}-5 y+... factor of \( 6y^{3} - y^{2} - 5y + 2 \). =====Question 5===== If zeros of a polynomial are $4, \frac{3}{
- Question 1, Exercise 5.1
- ====== Question 1, Exercise 5.1 ====== Solutions of Question 1 of Exercise 5.1 of Unit 05: Polynomials. This is unit of Mod... deral Textbook Board, Islamabad, Pakistan. =====Question 1(i)===== Find the remainder by using 'Remainder ... 1 \\ &= 5. \end{align*} Hence remiander = 5. =====Question 1(ii)===== Find the remainder by using 'Remainder
- Question 1 and 2, Exercise 5.2
- ====== Question 1 and 2, Exercise 5.2 ====== Solutions of Question 1 and 2 of Exercise 5.2 of Unit 05: Polynomials. This is... deral Textbook Board, Islamabad, Pakistan. =====Question 1===== Factorize by using factor theorem: $y^{3}-... & = (y+1)(y-3)(y+2). \end{align*} GOOD =====Question 2===== Factorize by using factor theorem: $2 x^{3
- Question 7 and 8, Exercise 5.2
- ====== Question 7 and 8, Exercise 5.2 ====== Solutions of Question 7 and 8 of Exercise 5.2 of Unit 05: Polynomials. This is... deral Textbook Board, Islamabad, Pakistan. =====Question 7===== Factorize $2 x^{3}-15 x^{2}+27 x-10$ if ' ... - 1\right) (x - 2)(x - 5). \end{align*} =====Question 8===== If $h(x)=4 x^{3}+4 x^{2}+73 x+36$ and $h\l
- Question 2, Exercise 5.3
- ====== Question 2, Exercise 5.3 ====== Solutions of Question 2 of Exercise 5.3 of Unit 05: Polynomials. This is unit of Mod... deral Textbook Board, Islamabad, Pakistan. =====Question 2===== In the cricket match season, the number of... ype="primary">[[math-11-nbf:sol:unit05:ex5-3-p1|< Question 1]]</btn></text> <text align="right"><btn type="s
- Question 3, Exercise 5.3
- ====== Question 3, Exercise 5.3 ====== Solutions of Question 3 of Exercise 5.3 of Unit 05: Polynomials. This is unit of Mod... deral Textbook Board, Islamabad, Pakistan. =====Question 3===== A rectangular solid has a volume of 144 cu... ype="primary">[[math-11-nbf:sol:unit05:ex5-3-p2|< Question 2]]</btn></text> <text align="right"><btn type="s
- Question 4, Exercise 5.3
- ====== Question 4, Exercise 5.3 ====== Solutions of Question 4 of Exercise 5.3 of Unit 05: Polynomials. This is unit of Mod... deral Textbook Board, Islamabad, Pakistan. =====Question 4===== The volume of a rectangular solid is 2475 ... ype="primary">[[math-11-nbf:sol:unit05:ex5-3-p3|< Question 3]]</btn></text> <text align="right"><btn type="s